Question

If sin(theta) = (1/2)x, what would sin(4 theta) equal?

Answer 1

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Answer 2

Can you even solve it?

Answer 3

cos(theta)=sqrt(1-x^2/4)
so sin(2 theta)=2(x/2)sqrt(1-x^2/4)
=xsqrt(1-x^2/4)
cos(2 theta)=sqrt(1-x^2(1-x^2/4))
now find sin(4 theta) =2sin(2theta)cos(2theta)

Answer 4

\[\sin(4 \theta ) = 2\sin(2 \theta ) \cos(2 \theta) = 2\sin(\theta)\cos(\theta) [ 1-2\sin^2 (\theta)] \]

Answer 5

It should equal to 4 sin(theta) cos (theta) [ 1- 2 (sin ^ 2 (theta) )]