For each of the following draw the reference angle and find

For each of the following, draw the reference angle and find the exact function value, if it exists: cot(60 degree) sec(-270 degree) cos(495 degree) sin(3 pi/3) tan (5 pi/6) CSC(-7 pi/4) Divert 120 degree to radians.

Solution

a) cot 60 = 1/sqrt(3)

b) sec(-270) = sec 90 = infinite

c) cos(495) = cos 45 = 1/sqrt(2)

d) sin(5pi/3) = sin(pi/3) = sqrt(3)/2

e) tan(5pi/6) = tan 30 = 1/sqrt(3)

f) csc(-7pi/4) = csc45 = sqrt(2)

120 degree = 120*pi/180 radian = 2.094395 radian