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557
help-10
42cd5773a545487fa875cfa34a23d8e6
296,975,504,907,436,000
lexitorius
10/29/2021 10:03:35
There’s a neat trick called the vertical line test
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help-10
42cd5773a545487fa875cfa34a23d8e6
296,975,504,907,436,000
lexitorius
10/29/2021 10:04:04
If you can draw a vertical line at any point and it touches the curve more than once, it is *NOT* a function
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help-10
42cd5773a545487fa875cfa34a23d8e6
296,975,504,907,436,000
lexitorius
10/29/2021 10:04:28
Because every input in a function has exactly one output
0
1
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557
help-10
42cd5773a545487fa875cfa34a23d8e6
296,975,504,907,436,000
lexitorius
10/29/2021 10:05:10
So in 16. for example, you can draw a vertical line anywhere and it will only ever touch that line once
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1
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557
help-10
42cd5773a545487fa875cfa34a23d8e6
315,181,656,359,174,140
gosu
10/29/2021 10:07:17
so if I understand that correctly, then only 17 and 18 don't specify functions
1
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help-10
42cd5773a545487fa875cfa34a23d8e6
315,181,656,359,174,140
gosu
10/29/2021 10:07:21
is that correct?
1
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help-10
42cd5773a545487fa875cfa34a23d8e6
296,975,504,907,436,000
lexitorius
10/29/2021 10:07:30
Mhm
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help-10
42cd5773a545487fa875cfa34a23d8e6
296,975,504,907,436,000
lexitorius
10/29/2021 10:08:04
If you plug 0 into the function in 17, you get three answers
0
1
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557
help-10
42cd5773a545487fa875cfa34a23d8e6
296,975,504,907,436,000
lexitorius
10/29/2021 10:08:33
Which violates intergalactic law or someth
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help-10
42cd5773a545487fa875cfa34a23d8e6
296,975,504,907,436,000
lexitorius
10/29/2021 10:09:22
It’s because the way functions are defined, each input can only have one output
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help-10
42cd5773a545487fa875cfa34a23d8e6
469,667,735,941,546,000
alephcomputer
10/29/2021 10:09:28
no
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help-10
42cd5773a545487fa875cfa34a23d8e6
296,975,504,907,436,000
lexitorius
10/29/2021 10:10:04
Aleph this channel is being used for a different question
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help-10
42cd5773a545487fa875cfa34a23d8e6
315,181,656,359,174,140
gosu
10/29/2021 10:10:40
thanks for your answer
1
0
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help-10
42cd5773a545487fa875cfa34a23d8e6
315,181,656,359,174,140
gosu
10/29/2021 10:11:11
.close
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help-10
7e78cdff9fe04c6b88ce43e7b0ac4a26
216,967,259,334,246,400
dmitry
11/06/2021 16:46:29
I have two known vectors V and N: for some context, V represents the projected velocity of a circle and N is the normalized vector representing the contact point between that circle and a line. What operations do I need to do to acquire P, the vector component of V that is perpendicular to N and parallel to the line?
https://cdn.discordapp.c…3048/unknown.png
unknown.png
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help-10
7e78cdff9fe04c6b88ce43e7b0ac4a26
216,967,259,334,246,400
dmitry
11/06/2021 16:47:53
I've been having some trouble looking up the operation, I forgot it a long time ago. I think it has something to do with the cross product but I'm no longer sure.
1
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help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:31:48
https://cdn.discordapp.c…FA6D044D9339.jpg
BA192C18-4930-4D59-B61A-FA6D044D9339.jpg
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help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:32:07
How do I determine the constants A and B?
1
0
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
140,928,979,849,838,600
Plurmorant
02/07/2022 15:32:44
think of what numbers sin^2(x) on its own goes between
0
1
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:32:50
We know that sin(x) has the amplitude 1, so the minimum value is -1, and the maximum value is one.
1
0
null
null
null
null
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
140,928,979,849,838,600
Plurmorant
02/07/2022 15:32:55
A stretches that and B changes the height
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help-10
fe515e1da81a42b7aeac45f9b6c92d4f
706,934,233,012,371,600
Ansh_
02/07/2022 15:35:22
A scales the min, max value of your function accordingly while B shifts the entire graph upwards by B.
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DEOG
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help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:35:46
Okay
1
0
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help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:36:27
so, to find b, we only put X equals zero, and then isolate the variable b
1
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help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:36:53
y(0) = A sin^2(0) + B
1
0
null
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null
null
null
559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:37:09
Sin(0) = 0
1
0
null
null
null
null
null
559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:37:30
y(0) = A*0+B => B.
1
0
null
null
null
null
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:38:08
Okay so what does this tell us? that -3 = B?
1
0
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:38:19
So the vertical shift is -3.
1
0
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:38:27
Now how do we find the amplitude?
1
0
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:38:49
Is it ((max+min)/2)?
1
0
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:39:19
In which case we have 1+(-3)/2 = -2
1
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:40:31
The way someone else explained it was: >>> We know that sin (x) will vary between -1 and 1. If we square it, we can think that sin² (x) will vary between 0 and 1, because it can no longer be negative (real squares are never negative) but the maximum can be 1² = 1. The curve y = sin² (x) thus has the height 1. If we wan...
1
0
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:44:41
Anyone could give Give me any advice?
1
0
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null
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:49:21
I didn’t get the part where he says “… you want the curve to be 1- (-3) = 4 units high.”
1
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559
help-10
fe515e1da81a42b7aeac45f9b6c92d4f
933,153,827,648,045,200
AuHasard
02/07/2022 15:49:27
Where is that formula from?
1
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:03:54
woop#3112
1
0
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null
null
null
560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:03:56
oops
1
0
null
null
null
null
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:03:59
not that
1
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:04:12
https://cdn.discordapp.c…2296/unknown.png
unknown.png
1
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:04:19
im confused on what to do here
1
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
118,536,946,527,109,120
Migillope
02/07/2022 19:04:27
What is the question
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:04:36
find variables
1
0
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null
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:04:51
i'm trying to use special triangle rules but not working
1
0
null
null
null
null
null
560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:05:15
do i have to draw some auxillary line?
1
0
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null
null
null
560
help-10
4060cd86be364df2b0da1f13727169e2
911,095,455,537,037,400
Plegasus
02/07/2022 19:15:40
The first thing I thought of was try solving a system of equation. We have x^2 + y^2 = 15^2 and (18-x)^2 + y^2 = 12^2.
0
1
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null
null
560
help-10
4060cd86be364df2b0da1f13727169e2
911,095,455,537,037,400
Plegasus
02/07/2022 19:16:04
Looking at it to see if there a faster way.
0
1
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null
null
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:16:27
i thought that but i don't think we have done systems with exponents.. or does that even matter?
1
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
911,095,455,537,037,400
Plegasus
02/07/2022 19:16:47
nope.
0
1
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:17:13
i dont think system of equations is the way to do this
1
0
null
null
null
null
null
560
help-10
4060cd86be364df2b0da1f13727169e2
911,095,455,537,037,400
Plegasus
02/07/2022 19:17:17
yeah.
0
1
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560
help-10
4060cd86be364df2b0da1f13727169e2
911,095,455,537,037,400
Plegasus
02/07/2022 19:17:23
still looking at it.
0
1
null
null
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:21:19
i cant find any other way
1
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
911,095,455,537,037,400
Plegasus
02/07/2022 19:27:04
nvm it system of equation but it just algebra. We have x^2 + y^2 = 15^2, that implies y^2 = 15^2 - x^2. Also notice we also have (18-x)^2 + y^2 = 12^2. The rest follows from that.
0
1
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:27:32
i got x=11.25
1
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
911,095,455,537,037,400
Plegasus
02/07/2022 19:27:36
yep.
0
1
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:27:36
did you get that as well
1
0
564,113,178,422,673,400
arun-woopers
3112
arun-woopers
false
560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:27:38
ok
1
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:27:42
thanks
1
0
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560
help-10
4060cd86be364df2b0da1f13727169e2
564,113,178,422,673,400
arun-woopers
02/07/2022 19:27:43
.close
1
0
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561
help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:54:28
Hi
1
0
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561
help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:54:43
https://cdn.discordapp.c…t_7.06.29_PM.png
Screen_Shot_2022-02-07_at_7.06.29_PM.png
1
0
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:54:55
So for b I got sin (5pi/12)
1
0
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561
help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:55:33
Idk if that's right
1
0
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:55:46
and I dont understand what it means by exact form
1
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help-10
3f24bbe673c949318058b2c5d5145a85
935,262,665,532,637,300
lgargaro
02/07/2022 19:56:12
if it’s asking for exact values it wants an answer in radians
0
1
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help-10
3f24bbe673c949318058b2c5d5145a85
935,262,665,532,637,300
lgargaro
02/07/2022 19:56:20
so in terms of pi
0
1
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help-10
3f24bbe673c949318058b2c5d5145a85
935,262,665,532,637,300
lgargaro
02/07/2022 19:56:33
with no trigonometric function
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help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 19:56:44
Yeah sin (pi-thetha ) is sin thetha
0
1
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help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 19:57:05
So sin (pi-7pi/12)
0
1
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help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 19:57:16
Will be sin(5pi/6
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1
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:57:25
https://cdn.discordapp.c…627A09A34C0F.jpg
314CD7A4-3CB5-41FA-AB08-627A09A34C0F.jpg
1
0
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help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 19:57:29
By 12*
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1
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:57:38
I did that
1
0
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:57:43
but like how does that make sense
1
0
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:57:55
how is sin(5pi/12)=sin(7pi/12)
1
0
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561
help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 19:57:56
Yeah that also work .
0
1
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null
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561
help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 19:59:21
wait so do you mean 5pi/12 not sin(5pi/12)
1
0
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null
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561
help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 20:00:26
It's sine (pi-theta) so in the XY plane it means that it'll lie in the 2bd quadrant
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help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 20:00:29
Where sin is +
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help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 20:02:00
In the second quadrant sin is + so if u do pi - thetha there will be no changes but if u do sin pi + theta ull get a minus sign.
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help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 20:02:52
Here u need to find the valur of sin(105,°)
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 20:03:07
https://cdn.discordapp.c…t_8.02.57_PM.png
Screen_Shot_2022-02-07_at_8.02.57_PM.png
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help-10
3f24bbe673c949318058b2c5d5145a85
521,326,998,195,273,700
shreksdad
02/07/2022 20:03:23
https://cdn.discordapp.c…4062/unknown.png
unknown.png
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 20:03:32
so basically it's the same thing as adding pi/2 to pi/4 to get 3pi/4
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 20:03:39
where the sin functions are the same?
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 20:03:51
but instead of adding we're subtracting
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 20:03:55
doing it in reverse?
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help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 20:04:03
I got it....u just need to simplify see ...u can write 7 pi/12 as 4pi/12+3pi/12
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935,262,665,532,637,300
lgargaro
7530
lgargaro
false
561
help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 20:04:18
Now just appl sin(a+b)
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help-10
3f24bbe673c949318058b2c5d5145a85
935,262,665,532,637,300
lgargaro
02/07/2022 20:06:41
Draw the graph $\sin(x)$ and you will see why $\sin(x) = \sin(\pi-x)$
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help-10
3f24bbe673c949318058b2c5d5145a85
844,563,108,554,866,700
Issackepler
02/07/2022 20:06:42
Root3-1 /root 8
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help-10
3f24bbe673c949318058b2c5d5145a85
200,013,547,491,688,450
a disappointing son
02/07/2022 20:07:23
why use the bot if you're just making your text a picture lmao
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help-10
3f24bbe673c949318058b2c5d5145a85
935,262,665,532,637,300
lgargaro
02/07/2022 20:08:12
my bad
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help-10
3f24bbe673c949318058b2c5d5145a85
200,013,547,491,688,450
a disappointing son
02/07/2022 20:08:19
\sin :flonshed:
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 20:08:32
so
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help-10
3f24bbe673c949318058b2c5d5145a85
510,789,298,321,096,700
TeXit
02/07/2022 20:08:52
**lgargaro**
https://cdn.discordapp.c…665532637254.png
935262665532637254.png
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help-10
3f24bbe673c949318058b2c5d5145a85
935,262,665,532,637,300
lgargaro
02/07/2022 20:08:52
😂
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help-10
3f24bbe673c949318058b2c5d5145a85
483,692,993,845,657,600
The guy who asked
02/07/2022 20:08:57
sin(5pi/12)=sin(7pi/12)
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help-10
3f24bbe673c949318058b2c5d5145a85
328,662,734,008,746,000
Geopchad
02/07/2022 20:09:04
if you wanted to show it you could use the additive identity
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