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Without Using Trigonometric Tables, Prove That: Cosec272° − Tan218° = 1 - Mathematics

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प्रश्न

Without using trigonometric tables, prove that:

cosec272° − tan218° = 1

बेरीज

उत्तर

LHS = cosec272° − tan218°

= cosec2 (`90^circ - 18^circ`) - tan2 `18^circ`

= `sec^2 18^circ` - tan2 `18^circ`

= 1

= RHS

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पाठ 7: Trigonometric Ratios of Complementary Angles - Exercises [पृष्ठ ३१२]

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आर एस अग्रवाल Mathematics [English] Class 10
पाठ 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 2.4 | पृष्ठ ३१२

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