The point (−5, −3) is on the terminal side of angle 𝜃. Evaluate the six trigonometric functions for 𝜃.

Answer 1

Hypotenuse = (5^2 + 3^2)^1/2 = sqrt(34)

Leg opposite angle = -3

Leg adjacent angle = -5

Sine angle = opp/hyp = -3/sqrt(34)

Cos angle = adj/hyp = -5/sqrt(34)

tan angle = sin angle/cos angle = 3/5

cot angle = 1/tan angle = 5/3

csc angle = 1/sin angle = -sqrt(34)/3

sec angle = 1/cos angle = -sqrt(34)/5