How do you find the exact value of $arcsin(-sqrt3)$ ?

Question

6963 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-11-18T05:29:08

Undefined.

Recall the Definition of $arc sin$ fun :

$arc sin x=theta, x in [-1,1] iff sintheta=x, theta in [-pi/2,pi/2].$

Now, since $-sqrt3 !in [-1,1], arc sin(-sqrt3)$ is undefined.

How do you find the exact value of arcsin(-sqrt3)arcsin(-sqrt3)?