cot theta upon cosec theta + 1 + cosec theta + 1 upon cot theta is equals to 2 secA
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Step-by-step explanation:
cotθ/1+cosecθ + 1+cosecθ/cotθ
=cot²θ+(1+cosecθ)²/cotθ(1+cosecθ)
=cot²θ+1+cosec²θ+2cosecθ/cotθ(1+cosecθ)
=2cosec²θ+2cosecθ/cotθ(1+cosecθ)
=2cosecθ(cosecθ+1)/cotθ(1+cosecθ)
=2cosecθ/cotθ
=2/cosθ
=2secθ
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