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Without Using Trigonometric Tables, Prove That: - Mathematics

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प्रश्न

Without using trigonometric tables, prove that:

(sin72° + cos18°)(sin72° − cos18°) = 0

बेरीज
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उत्तर

LHS=(sin72°+cos18°)(sin72°cos18°)

=(sin72°+cos18°)[cos(90°72°)cos18°]

=(sin72°+cos18°)(cos18°cos18°)

=(sin72°+cos18°)(0)

=0

=RHS

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पाठ 7: Trigonometric Ratios of Complementary Angles - Exercises [पृष्ठ ३१३]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 3.5 | पृष्ठ ३१३
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