हिंदी

Prove that (cos^2θ)/(sinθ) + sin θ = cosec θ.

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प्रश्न

Prove that `(cos^2θ)/(sinθ) + sin θ = "cosec"  θ`.

प्रमेय
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उत्तर

L.H.S. = `(cos^2θ)/(sinθ) + sin θ` 

= `(cos^2θ + sin^2θ)/(sin θ)`

= `1/(sin θ)`   ...[∵ sin2θ + cos2θ = 1]

= cosec θ

= R.H.S.

∴ `(cos^2θ)/(sin θ) + sin θ = "cosec"  θ`

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अध्याय 6: Trigonometry - Exercise

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