मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Prove that (sin θ + tan θ)/(cos θ) = tan θ (1 + sec θ).

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प्रश्न

Prove that `(sin θ + tan θ)/(cos θ) = tan θ (1 + sec θ)`.

सिद्धांत
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उत्तर

L.H.S. = `(sin θ + tan θ)/(cos θ)`

= `(sin θ)/(cos θ) + (tan θ)/(cos θ)`

= tan θ + tan θ sec θ

= tan θ (1 + sec θ)

= R.H.S.

∴ `(sin θ + tan θ)/(cos θ) = tan θ (1 + sec θ)`

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