The terminal side of angle theta contains the point (-5,2). Find the exact values of the six trigonometric functions of theta. Use radicals if necessary, but no decimals.

Answer 1

The angle is in the 2nd quadrant.

Find the length of the hypotenuse by using the Pythagorean Theorem.

c² = (-5)² + 2²

c² = 25 + 4 = 29

c = √29

sin = 2/√29 = 2√29/29

csc = √29/2

cos = -5/√29 = -5√29/29

sec = -√29/5

tan = -2/5

cot = -5/2