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Evaluate: 3 cos 80° cosec 10°+ 2 sin 59° sec 31° - Mathematics

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प्रश्न

Evaluate:

3 cos 80° cosec 10°+ 2 sin 59° sec 31°

मूल्यांकन

उत्तर

3 cos 80° cosec 10° + 2 sin 59° sec 31°

= 3 cos 80° cosec (90° – 80°) + 2 sin 59° sec (90° – 59°)

= 3 cos 80° sec 80° + 2 sin 59° cosec 59°

= 3 × 1 + 2 × 1  ...(∵ cos A × sec A = 1)

= 3 + 2

= 5   

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अध्याय 25: Complementary Angles - Exercise 25 [पृष्ठ ३१०]

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सेलिना Concise Mathematics [English] Class 9 ICSE
अध्याय 25 Complementary Angles
Exercise 25 | Q 6.2 | पृष्ठ ३१०

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