Question

Cosec theta + cot theta =P show that p^2-1/P^2+1

Answer 1

Answer:

Step-by-step explanation:

Cosecθ+Cotθ = p

1/sinθ  + cosθ/sinθ = p

1+cosθ = psinθ

Squaring both the sides

(1+cosθ)² = p² (sinθ)²

(1+cosθ)² = p² (1 - cos²θ))

(1+cosθ)² = p² (1- cosθ)( 1 + cosθ)

1+cosθ = p² (1 - cosθ)

cosθ = (p² - 1)/(p² + 1)