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sierraurb Group TitleBest ResponseYou've already chosen the best response.0
prove \[\sin \Theta \sin \Theta \times \cos ^{2}\Theta =\sin ^{3}\Theta \] show all work
 3 months ago

sierraurb Group TitleBest ResponseYou've already chosen the best response.0
I get that you'd start by multiplying sin(theta) and cos^2(theta) but idk what that comes out to
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
use a substitution by the identity cos^2 theta = 1  sin^2 theta
 3 months ago

sierraurb Group TitleBest ResponseYou've already chosen the best response.0
I have no idea what that means :( this is the one question i have no clue how to do
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
instead of cos^ theta write 1  sin^ theta then simplify and you'll find you'll get sin^3 theta
 3 months ago

sierraurb Group TitleBest ResponseYou've already chosen the best response.0
But its cos^2theta
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
cos^2 theta = 1  sin^2 theta is an established trig identity
 3 months ago

sierraurb Group TitleBest ResponseYou've already chosen the best response.0
Okay so how would i use that identity to solve?
 3 months ago

sierraurb Group TitleBest ResponseYou've already chosen the best response.0
should i replace cos^2 theta with 1sin^2
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
sin theta  sin theta * cos^ theta = sin theta  sin theta ( 1  sin^2 theta) now expand the brackets and simplify
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
yes i've replaced cos^2 theta with 1  sin^2 theta
 3 months ago

sierraurb Group TitleBest ResponseYou've already chosen the best response.0
do i subctract the two sin theta's or distribute the one?
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
distribute the sin theta over the parentheses is the next step
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
* rather you distribute  sin theta
 3 months ago

sierraurb Group TitleBest ResponseYou've already chosen the best response.0
so its sin theta  sin theta  sin^3 theta
 3 months ago

sierraurb Group TitleBest ResponseYou've already chosen the best response.0
and the two sin theta's cancel out and leave me with sin^3 theta?
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
no  remember:  times  = +
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
yes ( but note the sign of sin^3 theta is positive)
 3 months ago

sierraurb Group TitleBest ResponseYou've already chosen the best response.0
I understand now!! Thank you so so much I appreciate it a lot :)
 3 months ago

cwrw238 Group TitleBest ResponseYou've already chosen the best response.2
 sin theta  sin^2 theta = + sin^3 theta
 3 months ago
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