Question

prove that cosecant squared theta minus cot square theta equals to 1

Answer 1

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Answer 2

Cosec²θ - Cot²θ  = 1

Step-by-step explanation:

to be proved

Cosec²θ - Cot²θ = 1

LHS  = Cosec²θ - Cot²θ

Cosecθ = 1/Sinθ

Cotθ = Cosθ/Sinθ

= 1/Sin²θ  - Cos²θ/Sin²θ

= (1 -  Cos²θ)/Sin²θ

= Sin²θ/Sin²θ

= 1

= RHS

QED

proved

Cosec²θ - Cot²θ  =1

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