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

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

The conversion factor is pi = 180°

So,  


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.

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