Question

The measure of angle θ is 7pi/4 . The measure of its reference angle is__ °, and tan θ is__

Answer 1

Answer:

The measure of angle θ is . The measure of its reference angle is  

180 °, and tan θ is  45 .

Step-by-step explanation:

Answer 2

To get the reference angle, convert the angle measurement to degrees first since it is in radians.

The conversion factor is pi = 180°

So, $\frac{7pi}{4} x \frac{180}{pi}$ 
$\frac{`1260}{4} = 315$

Since 315° is located in quadrant IV, to get the reference angle, subtract 315° from 360°. Hence, the reference angle is 45°.

Based on the basics of trigonometric functions, Tan (45) = 1.