Question

Find the exact value sin11pi/2

Answer 1

Split it up into \[
\sin(8\pi/2 + 3\pi/2) = \sin(4\pi + 3\pi/2)
\]Then use: \[
\sin(x+y) = \sin(x)\cos(y)+\sin(y)\cos(x)
\]

Answer 2

Why do you split it up?

Answer 3

Because you can find the exact value for angles \(4\pi\) and \(3\pi/2\) very easily.

Answer 4

because of the cyclic nature of sin(x)

you just need to find \[\sin(\frac{3\pi}{2})\]