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Without Using Trigonometric Tables, Prove That: Cos54° Cos36° − Sin54° Sin36° = 0 - Mathematics

Sum

Without using trigonometric tables, prove that:

cos54° cos36° − sin54° sin36° = 0

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Solution

LHS = cos 54° cos36° - sin 54° sin 36°

= cos (90° - 36°) cos 36° - sin (90° - 360°) sin 36°

= sin 36° cos 36° - cos 36° sin 36°

= 0

= RHS

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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 7 Trigonometric Ratios of Complementary Angles
Exercise | Q 3.2 | Page 313
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