Find the exact values of the trigonometric functions for the

Find the exact values of the trigonometric functions for the acute angle theta. tan theta = 15/8 sin theta = ________ cos theta = _______ tan theta = _____ csc theta = _____ sec theta = ________ cot theta = _______

Solution

tan = 15/8

cot = 1/tan = 8/15

sec = sqrt[1 + tan^2 ] = sqrt[1 + 225/64] = 17/8

cos = 1/sec = 8/17

sin = sqrt[1 - cos^2 ] = sqrt[1 - 64/289] = 15/17

csc = 1/sin = 17/15