Question

Find the exact value: tan40/cot50 sec55/csc35 SHOW ALL WORK!

Answer 1

These are the important trigonometric relations to base on:

cot (x) = 1/tan(x)
sec(x) = 1/cos(x)
csc(x) = 1/sin(x)

Following these properties, we could simplify the equation and input into the calculator to determine the exact value.

tan40/cot50 = tan40/(1/tan50) = tan40tan50 = 1

sec55/csc35 = (1/cos 55)/(1/sin 35) = sin35/cos55 = 1