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help-10
40434149da124e6990989f2460db0048
410,112,802,045,558,800
S.
03/16/2022 18:11:09
@Helpers
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help-10
40434149da124e6990989f2460db0048
410,112,802,045,558,800
S.
03/16/2022 18:14:27
oh well .close
1
0
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1,285
help-10
40434149da124e6990989f2460db0048
410,112,802,045,558,800
S.
03/16/2022 18:14:32
.close
1
0
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1,286
help-10
65f0bc42263c4117b16b6454af358ead
581,768,799,796,199,400
AquaDrix
03/16/2022 18:25:11
I am stuck on part E. I am doing past paper questions and I am confused on how I am supposed to do this
https://cdn.discordapp.c…4741/unknown.png
unknown.png
1
0
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:25:29
what have you tried
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
581,768,799,796,199,400
AquaDrix
03/16/2022 18:26:06
Honestly, looking at the question hade made me not try but from the rules I know of, I can't think of a way to do it
1
0
null
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null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:26:29
i assume you know exponent laws? if not, google them
0
1
null
null
null
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null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:26:41
hint: rewrite 1/(9^x) with a base of 3
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
581,768,799,796,199,400
AquaDrix
03/16/2022 18:31:11
I got 1/3^2+x
1
0
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:31:59
?
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:32:02
how so
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:33:49
how
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
581,768,799,796,199,400
AquaDrix
03/16/2022 18:33:49
Well, I learned exponent laws recently so there might be a flaw in my method but what I basically did was I assumed that since I can write 9 as 3^2, and when you multiply indices together you add the power so that's what I did
1
0
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:34:07
the 1/9 means 9^-1
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:34:12
refer back to your exponent laws
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:34:19
ye[p
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:34:28
good luck aqua man
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:34:31
actually i think you just interpreted it incorrectly
0
1
null
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null
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null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:34:55
you rewrote $9$ as $3^2$, yeah, but that gets you $(3^2)^x$
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
510,789,298,321,096,700
TeXit
03/16/2022 18:35:17
**a disappointing son**
https://cdn.discordapp.c…547491688448.png
200013547491688448.png
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:36:04
the law *you* tried to apply states $a^b\cdot a^c=a^{b+c}$
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
510,789,298,321,096,700
TeXit
03/16/2022 18:36:07
**a disappointing son**
https://cdn.discordapp.c…547491688448.png
200013547491688448.png
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:36:17
but you're raising an exponent to an exponent here, not multiplying
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:40:10
we've already established that. this isn't your problem
0
1
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null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:41:14
sorry again
0
1
null
null
null
null
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1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:41:20
that was inapropriate of me
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:45:55
@AquaDrix do you know how to convert 1/9x to an exponent
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
581,768,799,796,199,400
AquaDrix
03/16/2022 18:47:31
I did some working out, and got $3^2x-a+2^x$ = $3^2y-x$
1
0
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
510,789,298,321,096,700
TeXit
03/16/2022 18:47:33
**AquaDrix**
https://cdn.discordapp.c…799796199424.png
581768799796199424.png
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
581,768,799,796,199,400
AquaDrix
03/16/2022 18:48:03
This basically
https://cdn.discordapp.c…578117C572B7.jpg
B82A8796-5E68-426E-85FF-578117C572B7.jpg
1
0
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:48:48
now you can cancel the 3s
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:49:06
that ain't right
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:49:19
so it becomes 2x - 1 + 2x = 2y
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:49:28
he canceld the x
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:49:34
i thought the same thing
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:50:01
don't do people's work for them
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:50:08
also that's wrong
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:50:26
i didnt
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:50:32
yes, you did
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
200,013,547,491,688,450
a disappointing son
03/16/2022 18:50:41
that's not up for debate, i am *looking* at the work you did for him
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:51:23
i guess
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:51:26
i did some
0
1
null
null
null
null
null
1,286
help-10
65f0bc42263c4117b16b6454af358ead
508,387,950,661,337,100
ShadoeStorm
03/16/2022 18:51:28
mb
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 19:51:09
(Use a Double- or Half-Angle Formula to solve the equation in the interval [0, 2𝜋). (Enter your answers as a comma-separated list.) tan(𝜃) + cot(𝜃) = 4 sin(2𝜃)
1
0
581,768,799,796,199,400
AquaDrix
9839
AquaDrix
false
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:52:24
Let's start by getting all the trig functions in terms of theta
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:52:35
How do you get sin(2theta) in terms of just theta
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 19:53:14
u change it to sin(theta)cos(theta)
1
0
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:53:22
yh
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:53:43
but $\sin{2\theta} \not= \sin{\theta}\cos{\theta}$
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
510,789,298,321,096,700
TeXit
03/16/2022 19:53:46
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 19:54:17
i meant 2sin(theta)cos(theta)
1
0
200,013,547,491,688,450
a disappointing son
0540
a disappointing son
false
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:54:29
good
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:54:31
now we have
0
1
508,387,950,661,337,100
ShadoeStorm
0638
ShadoeStorm
false
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:54:50
$\tan{\theta} + \cot{\theta} = 8\sin{\theta}\cos{\theta}$
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
510,789,298,321,096,700
TeXit
03/16/2022 19:54:53
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
200,013,547,491,688,450
a disappointing son
0540
a disappointing son
false
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 19:54:58
yep
1
0
508,387,950,661,337,100
ShadoeStorm
0638
ShadoeStorm
false
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:54:58
now what
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 19:55:37
now u change tan and cot to sin(theta)/cos(theta) and cot to cos(theta)/sin(theta)
1
0
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:56:15
good and after doing that how about multiplying both sides by $\sin{\theta}\cos{\theta}$
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
510,789,298,321,096,700
TeXit
03/16/2022 19:56:17
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:56:52
Giving $\sin^2{\theta} + \cos^2{\theta} =8(\sin{\theta}\cos{\theta})^2$
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:57:04
now what
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 19:57:33
distribute the 8?
1
0
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
510,789,298,321,096,700
TeXit
03/16/2022 19:59:40
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:59:48
sorry i made a typo
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 19:59:51
now what
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 20:00:05
square root both sides
1
0
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 20:00:12
?
1
0
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:00:18
what is s^2+c^2
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 20:00:43
1
1
0
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:01:12
Can you solve it now?
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 20:02:29
umm tbh no thats the part im stuck on
1
0
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 20:03:40
I turned that into 1/2=(sin(2theta))^2
1
0
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:04:59
good
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:05:51
So now you must solve $\sin{2\theta} = \pm \frac{1}{\sqrt{2}}$
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
510,789,298,321,096,700
TeXit
03/16/2022 20:06:03
**azeem321**
https://cdn.discordapp.c…354572103731.png
872024354572103731.png
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:06:12
u can do this now?
0
1
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 20:06:16
which I get pi/8 and -pi/8
1
0
null
null
null
null
null
1,287
help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:06:26
notice the domain
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:06:34
and remember sin(2x) is periodic
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:06:38
with period pi
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:06:55
which means u can add/subtract pi
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:07:02
and it will be a solution
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:07:07
so if x=a is a solution
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:07:11
x=a+pi is a solution
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:07:19
x=a+pi+pi is a solution
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:07:27
x=a-pi is a soluition
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:07:38
but the question only wants the solutions between 0,2pi
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help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 20:08:46
we just add pi to both of them until we get all the possible solutions in the domain?
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:09:35
let's put this on a back burner
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:09:39
let me show u something important
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:10:09
https://cdn.discordapp.c…3872/unknown.png
unknown.png
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:10:18
this is the graph of sin(x)
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:10:38
Suppose we want to find all values of x, for which sin(x) = a
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:11:15
we know there is a solution at the red line
https://cdn.discordapp.c…2582/unknown.png
unknown.png
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:11:54
How do you get the second solution?
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help-10
06ec8c32e60b4652aa2b53607278685e
711,358,354,743,623,700
alSanity
03/16/2022 20:13:08
the next point where they intersect
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:13:29
yh
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:13:38
but most calculators won't give you that solution
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help-10
06ec8c32e60b4652aa2b53607278685e
872,024,354,572,103,700
<><><>
03/16/2022 20:13:46
so what algebra can u do to get that solution
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