# How do you evaluate #sec^-1(2)#?

##### 1 Answer

Aug 13, 2016

#### Explanation:

Let the answer be

Since

As secant is the reciprocal of the cosine function, i.e.

#1/cos(x) = 2#

Or

The range of

The range of

Since the ranges are similar, we can find

#x = cos^{-1}(1/2) = pi/3#