Verify csc^2t-cos t sect= cot^2 t

Maelgrove asked Oct 17, 2023

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Maelgrove asked Oct 17, 2023

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9 votes

Rewriting the left hand side,

csc²t - cost sec t

= (1/sin²t)-(cost)(1/cost)

= 1/sin²t - 1

= 1/sin²t - sin²t/sin²t

= (1-sin²t)/sin²t

= cos²t/sin²t

= cot²t

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