Find the values of the following trigonometric functions giv

Find the values of the following trigonometric functions given that csc=-(5/4) and cos>0

sec =

cot =

show all steps

Solution

csc theta=-5/4 and cos theta is positive it means theta is in fourth wuadrant where cos and sec are positive.

sin theta=1/csc theta=-4/5

cos theta=sqrt(1-sin²theta)= sqrt(1-16/25)= 3/5

sec theta=1/cos theta=5/3

cot theta=cos theta/sin theta=-3/4