मराठी

Without using trigonometric tables, prove that: cosec^2 72° – tan^2 18° = 1

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प्रश्न

Without using trigonometric tables, prove that:

cosec272° – tan218° = 1

सिद्धांत
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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 12: Trigonometric Ratios of Some Complemantary Angles - EXERCISE 12 [पृष्ठ ५९०]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 12 Trigonometric Ratios of Some Complemantary Angles
EXERCISE 12 | Q 3. (vi) | पृष्ठ ५९०
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