Question

Express sin 4 "theta" in terms of powers of sin "theta" and cos "theta". Please explain in detail, thanks

Answer 1

Is the question\[sin4\theta\]

Answer 2

Use the formulae
\[
\sin ( 2 A) = 2 \sin(A) \cos(A)\\
\cos(2 A)= \cos^2(A) - \sin^2(A)
\]
to get what you want.

Answer 3

Your final answer should look like
\[
\sin (4 \theta )=4 \sin (\theta
) \cos ^3(\theta )-4 \sin
^3(\theta ) \cos (\theta )
\]
but you should do all the steps from the two formulae I wrote above.

Answer 4

Hi, sorry for my late reply and thanks for your feedback. I'm clueless when it comes to this so can you give a bit more clarity?