For each of the following, draw the reference angle and find the exact function value, if it exists

Question

A) cot(60°)

B) sec (-270°)

C) cos (495°)

D) sin(5pi/3)

E) tan (5pi/6)

F) csc (-7pi/4)

Answer 1

A. Cot(60) = Cos(60)/Sin(60) = [SQRT(3)/2] / [1/2] = SQRT(3)

B. Sec(-270) = 1/Cos(-270) = 1/0.....Undefined

C. Cos(495) = -SQRT(3)/2

D. Sin(5pi/3) = -SQRT(3)/2

E. Tan(5pi/6) = -SQRT(3)

F. CSC(-7pi/4) = 2/SQRT(2) = SQRT(2)