In the problem t is a real number and P x y is the point on

In the problem, t is a real number and P = (x, y) is the point on the unit circle that corresponds to t. Find the exact value of the indicated trigonometric function of t.

(4/7, -squareroot33/7 ) Find csc t.

Solution

tan theta=y/x = -sqrt33/7

Here opposite=sqrt33/7

adjacent= 4/7

hypotenuse=sqrt(16/49   + 33/49) =1/7

csc t= hypotenuse/opposite= -1/sqrt 33