Find the exact values of the six trigonometric ratios of the angle θ in the triangle.

Question

sin(θ) =

cos(θ) =

tan(θ) =

csc(θ) =

sec(θ) =

cot(θ) =

Answer 1

First of all the hypotenuse is 34 from pythagorean theorem.

sin=30/34 opposite over hypotensue. (All are from the perspective of theta)

cos=16/34. adjacent over hypotenuse

tan=30/16. opposite over adjacent

sec=34/16. inverse of sine

csc=34/30. inverse of cosine

cot=16/30. inverse of tangent