Evaluating Trigonometric Functions, find the exact values of the remaining trigonometric functions of a satisfying the given conditions.
a. tanθ = ¹⁵⁄₈, sinθ > 0
b. cosθ = ⁸⁄₁₇, tanθ < 0
c. sinθ = 0.6, θ lies in Quadrant II.
d. cosθ = -0.8, θ lies in Quadrant III.
e. cotθ = -3, cosθ > 0
f. cscθ = 4, cotθ < 0