# How do you find the exact value of #cos [arc tan ( 5/12 ) + arc cot ( 4/3 )#?

##### 1 Answer

Jul 4, 2016

For principal values of the angles, the answer is

#### Explanation:

Let a = arc tan (5/12).

quadrant. So, #cos a=12/13 and sin a = 5/13. The general values are

in 1st and 3rd. For general values, both cos and sin have the same

sign..

Let b = arc cot (4/3).

quadrant. So, #cos b=4/5 and sin b =3/5. The general values are in

1st and 3rd. For general values, both cos and sin have the same

sign.

Now, the given expression is

Considering same sign for both sin and cos, the general values

are