Find the values of the six trigonometric functions of theta

Find the values of the six trigonometric functions of theta with the given constraint. (If an answer is undefined, enter UNDEFINED.) Function Value Constraint tan theta is undefined. pi lessthanorequalto theta lessthanorequalto 2 pi sin theta = cos theta = tan theta = csc theta = sec theta = cot theta =

Solution

tan theta = undefined

it means theta is either 90 or 270 degrees

since , theta lies between pi to 2pi

therefore, theta = 270 degrees

finding values of each trigonometric function

theta = 270 degrees

sin theta = -1

cos theta = 0

cot theta = 0

sec theta =1/ cos theta = 1/0 = undefined

csc theta = 1/ sin theta = 1/-1 = -1