Math, asked by lspfdnr, 4 months ago

prove that √1+cosetheta/1-cos theta cosec thera + cot theta

Answers

Answered by spiderman2019
0

Answer:

Step-by-step explanation:

√[1 + Cosθ/1 - Cosθ]

//multiply and divide by 1 + Cosθ

=> √ [1 + Cosθ/1 - Cosθ]  * [1 + Cosθ/1+Cosθ]

=> √ (1 + Cosθ)² / (1 - Cosθ)(1+Cosθ)

=>√ (1 + Cosθ)² /Sin²θ

=> 1 + Cosθ / Sinθ

=> 1/Sinθ + Cosθ/Sinθ

=> Cosecθ + Cotθ

= R.H.S

Hence proved.

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