Find the exact values of the remaining trigonometric functions of 𝜃 satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.) sin 𝜃 = 0, sec 𝜃 = −1

Answer 1

sinA = 0 means A = 0 or pi (+2npi where n= any integer)

secA =-1 means A = pi (+2npi where n= any integer)

to satisfy both, only pi is the solution (+2npi where n= any integer

A = pi, 3pi, 5pi, 7pi... or -pi, - 3pi, -5pi, -5pi ....

A = 180 degrees (plus or minus 360n degrees where n = any integer)

Answer 2

For sin(θ) = 0, θ=0+nπ

For sec(θ) = -1, θ = π + 2nπ

To satisfy both conditions, θ = π(2n+1) for n =0 to ∞