Let be an angle in quadrant IV such that sin 1213 Find the

Let be an angle in quadrant IV such that sin= -12/13

.
Find the exact values of sec and cot

PLEASE SHOW ALL WORK AND ANSWERS

Solution:

Let be an angle in quadrant IV such that sin= -12/13

(cos is positive in Q4)

sec = 1/(((1 - 144/169)) = 1/(((25/169)) = 1/(5/13) = 13/5

And

cot = cos/sin = (5/13)/(-12/13) = -5/12