Question

prove this by trigonometric identity ​

Answer 1

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

to prove (cosecθ - cotθ)² = (1-cosθ)/(1+cosθ)

take LHS

= (cosecθ - cotθ)²

= ((1/sinθ) - (cosθ/sinθ))²

= [(1-cosθ)/sinθ]²

= (1-cosθ)²/sin²θ

= (1-cosθ)²/(1-cos²θ)

= [(1-cosθ)*(1-cosθ)] /[(1+cosθ)(1-cosθ)]

= (1-cosθ)/(1+cosθ)

= RHS

=> LHS = RHS

Hence proved