csc(θ) = − 10√ 91/ 91 with θ in Quadrant III use the given the information to find the exact values of the remaining circular functions of θ.

Answer 1

sin(θ) = 1/csc(θ) = - √91/10; cos(θ) = - √(1 - 91/100) = - 3/10; sec(θ) = 1/cos(θ) = - 10/3;

tan(θ) = sin(θ)/cos(θ) = √91/3; cot(θ) = 1/tan(θ) = 3/√91 = 3√91/91