# How do you simplify #sin[cos^-1( - sqrt5 / 5 ) + tan^-1 ( - 1 / 3) ]#?

##### 1 Answer

May 26, 2016

#### Explanation:

Let

Let

Now, the given expression is

sin ( a + b ) = sin a cos b + cos a sin b

In each case, the angles a and b can be obtained separately. .