# Use the information about the angle θ to find the exact value of?

##
a. #sin(θ/2)#

b. #cos(θ/2)#

c. #tan(θ/2)#

#cot θ = 3/4# , #pi# < θ < #(3pi)/2#

a.

b.

c.

##### 2 Answers

#### Explanation:

Given:

We need

Substitute

The cosine function is negative in the third quadrant:

For the half-angle formulas, please observe that:

This means that sine and cosine of the half-angles are positive.

Substitute equation [1]:

Substitute equation [1]:

#### Explanation:

First find cos t.

Since t is in Quadrant 3, then, cos t is negative

To find

In this case:

a.

Because t lies in Q.3, then,

b.

Because

c.