## anonymous 4 years ago Find the exact value sin11pi/2

• This Question is Open
1. anonymous

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

2. anonymous

Why do you split it up?

3. anonymous

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

4. campbell_st

because of the cyclic nature of sin(x) you just need to find $\sin(\frac{3\pi}{2})$