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Prove that: cos80°/sin10° + cos59°cosec31° = 2

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This question is from trigonometry topic – trigonometric ratios on complementary angles

We have to prove that cos80°/sin10° + cos59°cosec31° = 2

RS Aggarwal, Class 10, chapter 12, question no 4(ii)

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1 Answer

  1. LHS

    cos80°/sin10° + cos59°cosec31°

    =cos80°/sin(90°-80°) + cos59°cosec(90°-59°)

    = 1+1

    =2 = LHS

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