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8
volunteer
Yeah, I guess it is one plus
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volunteer
then the half gets drawn out.
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volunteer
I mean, you're off by 2, and then you skipped
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volunteer
you skipped 22 should have been
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volunteer
oh, I think he did them backwards
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volunteer
Yeah, the second one should have been signed the third one is sine cube, but we can work on that.
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student
i did 3 then 2
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volunteer
So you have
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volunteer
3 minus
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volunteer
Oh, you actually wrote out the
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volunteer
identity. You have 3 and 2, OK.
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volunteer
Let's see
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volunteer
well they use the identity as well.
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volunteer
So yeah, 3/45 cosine x.
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volunteer
Yeah, that's right
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volunteer
And then question 2.
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volunteer
Sign to like cosine 3X.
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volunteer
times 2.
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volunteer
Oh, you did 15 times 2. OK.
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volunteer
Oh, I see what you did.
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volunteer
Yeah, you got it right. Uh.
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volunteer
You are very clever
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student
🎊
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volunteer
I is notifications going on.
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volunteer
Great job.
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volunteer
Smarter than me.
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student
thank you!😅
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volunteer
So it can be shown.
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volunteer
Yeah, I don't know how much of a compliment that is.
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volunteer
but to each their own. For me, it's a compliment. I hope it doesn't offend you.
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volunteer
Uh.
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volunteer
So a decent treatment there that both answers are.
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volunteer
always talking about
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volunteer
This was actually one of the um
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volunteer
example problems from the previous chapter, something similar.
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volunteer
which sine cubed, cosine squared.
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student
i practiced these identity in trig a lot. so i kind of have them in mind
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volunteer
You've done triple angles and
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volunteer
other ones
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volunteer
Cause those are typically aren't as memorized.
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volunteer
aren't as well known, I'm sorry
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student
I didn't memorize these. it's muscle memory lol
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volunteer
Oh, OK
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volunteer
Um, did you wanna do some actual exercises or kind of leave you on your own and we can just move on to um the next section of trig.
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volunteer
which you should just kind of like,
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volunteer
other, other integrals that you can kind of like just memorize.
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student
let's do some hard ones
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volunteer
I don't know how relevant they'd be
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volunteer
You wanna do some hard ones
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volunteer
Hm
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student
then move on to next section. yeah
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volunteer
That might be too easy.
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volunteer
to incubed
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volunteer
No, that's just the easy.
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volunteer
substitution
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volunteer
might pick, this might just be the integral of that.
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volunteer
Um, let's see
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volunteer
What do you think we can go with
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volunteer
19.
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volunteer
Oh, and 21
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volunteer
So inverse
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volunteer
Is that OK with you? Problems 19 and 21?
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student
yeah
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student
can i try them first?
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volunteer
yes
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volunteer
we can do them separately and then compare answers
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student
ohh, sounds good!
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student
is it cos^3 in 19?
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volunteer
yes
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student
okay!
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student
don't check answer right now
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volunteer
ok
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student
can you give a little hint for 21?
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volunteer
tbh I'm still working through it
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volunteer
I haven't looked at the answer
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student
oh, how did you start? did you let anything?
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volunteer
I tried rewriting the inverse
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student
how did you write the values for side?
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volunteer
I'm not sure if it's actually gonna help though.
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student
ohh okay! got it
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volunteer
So it could be useless or not relevant.
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student
let's see
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volunteer
forgot square root
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student
where?
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student
ohh i see
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student
right
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student
I know how to do this, but i can't remember the right thing to let
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volunteer
that's the tricky part
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volunteer
That's why I said this stuff will come with time. Like it, like you know how to do it, but it's just like on the tip of your tongue.
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volunteer
Man, this is a hard problem.
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volunteer
It's like right there, but I just can't put my finger on it.
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volunteer
So we know about theta and X is that they're
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student
yeah, i just can't remember that. i almost got it
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volunteer
phase shifted
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volunteer
aren't so syax is equal to cosinax. I'm sorry, sin the as you go to cosinemax.
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volunteer
and cosine data is equal to sin X.
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volunteer
I wonder if we can use uh some
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volunteer
and um
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volunteer
some properties
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volunteer
cause we know that
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