# How do you evaluate #sec^-1( 2/ sqrt3)#?

##### 2 Answers

#### Explanation:

Ask yourself: "secant of *what angle* gives me

Since *what angle* gives me

We know that

While secant is also positive in quadrant four, and there are an infinite amount of coterminal angles where secant is

#### Explanation:

#sec^-1(2/sqrt(3))#

#sectheta=2/sqrt(3)#

#1/costheta=2/sqrt(3)#

#costheta=sqrt(3)/2#

#theta=cos^-1(sqrt(3)/2)#

#theta=30^@#

However, since

To find the other angle that would also give an answer of

#360^@-30^@#

#=330^@#