Question

Verify the following identity:
sin(theta)cos^2(theta)+sin^3(theta)=sin(theta)

Please include steps! :/ Thank you!

Answer 1

split it all into sins

Answer 2

cos^2 = 1 - sin^2

right?

Answer 3

rightt

Answer 4

then distribute the sin thru and cancel the ^3s

Answer 5

make sense?

Answer 6

ehh, im not good with trig :/

Answer 7

the trig itself isnt the issue; they want you to become familiar with identites; this really just reads as this:

ab^2 - a^3 = a ; when b^2 = 1-a^2

a(1-a^2) - a^3 = a

a -a^3 + a^3 = a

a = a

Answer 8

cos^2 = 1 - sin^2

Answer 9

mkay, so far i get that..

Answer 10

sin*cos^2 + sin^3 = sin ; and cos^2 = 1-sin^2

sin*(1-sin^2) + sin^3 = sin

sin -sin^3 + sin^3 = sin

sin = sin

helps if i dont typo it

Answer 11

thank you so much!

Answer 12

yep