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Prove that sinθ+tanθcothη = tan θ(1 + sec θ) - Geometry Mathematics 2

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प्रश्न

Prove that `(sintheta + tantheta)/cos theta` = tan θ(1 + sec θ)

योग
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उत्तर

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

= `sintheta/costheta + tantheta/costheta`

= tan θ + tan θ sec θ

= tan θ(1 + sec θ)

= R.H.S

∴ `(sintheta + tantheta)/cos theta` = tan θ(1 + sec θ)

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अध्याय 6: Trigonometry - Q.2 (B)

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