Math Calculus

Solutions:

since 3π/2 < θ < 2π,
sin θ < 0, cos θ > 0, tan θ < 0, sec θ > 0, cot θ < 0.

sin θ = 1 / csc θ = - 3 / 4
cos θ = √(1 - sin2θ) = √7 / 4
tan θ = sin θ / cos θ = - 3 / √7 = - 3√7 / 7
cot θ = 1 / tan θ = - √7 / 3
sec θ = 1 / cos θ = 4 / √7 = 4√7 / 7