# How do you evaluate #sin^-1(-1/sqrt2)# without a calculator?

##### 1 Answer

Dec 27, 2016

Please see the explanation.

#### Explanation:

Let's rationalize the denominator by multiplying the argument by 1 in the form of

The denominator becomes 2 and the two numerators are multiplied:

To make it the 3rd quadrant add

To make it the 4th quadrant subtract