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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
 one month 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
 one month 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
 one month 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
 one month 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
 one month ago

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

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

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

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

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

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

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

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

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

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

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

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