# How do you simplify #Tan(sec^-1(u))#?

##### 2 Answers

#### Explanation:

Trigonometric functions of an angle can be thought of as ratios of the sides of a triangle and its inverse functions are functions of a ratio of that triangle that return an angle.

Let there be a right triangle with vertical leg

Let an angle

so

The problem now becomes

We know that

see below

#### Explanation:

Let

Thus,

Squaring both sides,we get,

Thus,

Getting back to the original question,we have,