If 5 cot θ = 3, show that the value of is 16/29.

11

If cosec θ + cot θ = p, prove that .

12

Prove that .

14

Prove that (sin 32° cos 58° + cos 32° sin 58°) = 1.

15

If x = a sin θ + b cos θ and y = a cos θ – b sin θ, prove that x² + y² = a² + b².