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Rajan@2021
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Without using trigonometric tables, prove that: sec70°sin20° + cos20°cosec70° = 2

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This question is from trigonometry

Topic – Trigonometric ratios on.                     complementary angles

We have to prove that sec70°sin20° + cos20°cosec70° = 2 without using trigonometric tables

RS Aggarwal, Class 10, chapter 12, question no 2(iii).

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  1. LHS

    sec70°sin20° + cos20°cosec70°

    = sec(90° – 20°) sin20° + cos20° cosec(90° – 20°)

    = cosec 20° sin20° + cos20° sec 20°

    = 1 +1

    = 2 = RHS

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