How do you evaluate ${sin}^{- 1} (- \frac{1}{2})$ $sin^-1(-1/2)$ without a calculator?

Question

3371 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-05T11:05:50

The answer is $S={210º,330º}$

We know that $sin30º=1/2$

So, we are looking for a solution in the 3rd and 4th quadrant

$sintheta=-1/2$

$theta=210º$ and $theta=330º$

if $0< theta<= 360$

How do you evaluate sin^-1(-1/2)sin−1(−12)sin^-1(-1/2) without a calculator?