Find the values of the six trigonometric functions of with t

Find the values of the six trigonometric functions of with the given constraint. (If an answer is undefined, enter UNDEFINED.)

Function Value Constraint

sin = 0 sec = 1

sin =

cos =

tan =

csc =

sec =

cot =

Solution

We have given that sin= 0 and sec = -1. Since sin is positive and sec is negative hence must be in 2nd quadrant. Now value of sin is 0 and value of sec is -1 at pi. Hence we got the value for .

= pi

sin = 0

cos = cospi = -1

tan = tan pi = 0

csc = csc pi = undefined

sec = -1

cot = cot pi = undefined