Question

prove cosec x sec x /cot x= 1/ cos^2 x

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Step-by-step explanation:

Given,

cosec x sec x/cot x = 1/cos²x

Now consider,

L.H.S,

cosec x sec x/cot x

=> (1/sin x)(1/cos x)/(cos x/sin x)

=> (1/sin x)(1/cos x) × sin x/cos x

=> (1×1/cos x) × 1/cos x

(Since both 'sin x' are cancel)

=> (1/cos x) × (1/cos x)

=> 1/cos²x

=> R.H.S.

I hope it helps you!!!