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Prove that Cos8/Sin10 + Cos59∘Cosec31∘=2 - Mathematics

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Question

Prove that `cos 80^@/sin 10^@  + cos 59^@ cosec 31^@ = 2`

Solution

Cos 80° = cos (90° - 10°) = sin 10°

`=> sin 10^@/sin 10^@  +   sin 31^@ cosec 31^@`

= 1 + 1 = 2         `[∵ sin theta cosec theta = 1]`

Hence proved

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Chapter 10: Trigonometric Ratios - Exercise 10.3 [Page 53]

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RD Sharma Mathematics [English] Class 10
Chapter 10 Trigonometric Ratios
Exercise 10.3 | Q 7.4 | Page 53
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