Question

prove that cos(90-theta)cosec(90-theta)=tan theta ​

Answer 1

Answer:

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Answer 2

Let us take theta be ○ for ease of writing.

To prove:-

cos(90-○).cosec(90-○) = tan○.

Proof:-

By taking LHS we get,

cos(90-○).cosec(90-○)

= sin○.1/sin(90-○).

{since cos 90-theta = sin theta and cosec theta = 1/sin theta}

= sin○.1/cos○

{Since sin 90-theta = cos theta}

= sin○/cos○.

= tan○

{since sin theta/cos theta = tan theta}

HENCE PROVED.

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