# Question #c43f5

##### 2 Answers

#### Explanation:

We have:

Let's apply the Pythagorean identity

The range of values of

This is the quadrant where all values of

#### Explanation:

Use the identity

#tan^2theta+1=sec^2theta#

We know that

#sec^2theta = (9/40)^2+1#

#sec^2theta = 81/1600 + 1#

#sec^2theta = 1681/1600#

#sectheta = +-41/40#

To figure out whether the answer is positive or negative, we need to look at the quadrant that the angle is in. The problem tells us that the angle is between 180 and 270 degrees, so it must be in the third quadrant. In the third quadrant,

#-41/40#

*Final Answer*