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sierraurb
 11 months ago
Trignometric functions help!!
sierraurb
 11 months ago
Trignometric functions help!!

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

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

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

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

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

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

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

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

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

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

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

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

cwrw238
 11 months ago
Best ResponseYou've already chosen the best response.2* rather you distribute  sin theta

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

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

cwrw238
 11 months ago
Best ResponseYou've already chosen the best response.2no  remember:  times  = +

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

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

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