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Rajan@2021
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Asked: 2021-04-08T00:16:06+05:30 In:

Without using trigonometric tables, prove that: cos54°cos36° – sin54°sin36° = 0

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This question is from trigonometry

Topic- Trigonometric ratios on.                      complementary angles

We have been asked to prove that cos54°cos36° – sin54°sin36° = 0 without using trigonometric tables

RS Aggarwal, Class 10, chapter 12, question no 3(ii)

class 10 cbsers aggarwaltrigonometric ratios
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      LHS = cos54° cos36° − sin54° sin36° = cos54°cos36° − sin(90° – 36°) sin(90° – 54°)

      = cos54°cos36° – cos36°cos54°

      = 0 = RHS

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