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Prove that cos2θsinθ+sinθ = cosec θ - Geometry Mathematics 2

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प्रश्न

Prove that `(cos^2theta)/(sintheta) + sintheta` = cosec θ

योग
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उत्तर

L.H.S = `(cos^2theta)/(sintheta) + sintheta` 

= `(cos^2theta + sin^2theta)/sintheta`

= `1/sintheta`   .......[∵ sin2θ + cos2θ = 1]

= cosec θ

= R.H.S

∴ `(cos^2theta)/(sintheta) + sintheta` = cosec θ

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अध्याय 6: Trigonometry - Q.2 (B)

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