Find exact values of trig functions based on the unit circle

Find exact values of trig functions based on the unit circle: Find cot - pi/3 - sec pi/6 Find: sin pi/3 - cos pi/2 Find 7 csc 3 pi/4 - cot(-2 pi/3) Find 5 sec 9 pi/4 - csc(-2 pi/3)

Solution

cot(-/3) -sec(/6)

=-cot(/3) -sec(/6)

=-(1/3)-(2/3)

=-3/3

=-3

therefore cot(-/3) -sec(/6) =-3