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Prove That: Cos 80 ∘ Sin 10 ∘ + Cos 59 ∘ Cosec 31 ∘ = 2 - Mathematics

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प्रश्न

Prove that:

`cos 80^circ/(sin 10^circ) + cos 59^circ "cosec"  31^circ = 2`

बेरीज
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उत्तर

`"LHS"  = cos 80^circ/(sin 10^circ) + cos 59^circ "cosec"  31^circ `

`= (cos 80^circ)/cos(90^circ-10^circ) + sin (90^circ - 59^circ) "cosec"  31^circ`

`= 1 + "sin"31^circ`xx1/sin 31

= 1 + 1

= 2

= RHS

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पाठ 7: Trigonometric Ratios of Complementary Angles - Exercises [पृष्ठ ३१३]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 4.2 | पृष्ठ ३१३
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