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