मराठी

Express cot 78° + sec 64° in terms of trigonometric ratios of angles between 0° and 45°. - Mathematics

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प्रश्न

Express cot 78° + sec 64° in terms of trigonometric ratios of angles between 0° and 45°.

बेरीज
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उत्तर

Given: cot 78° + sec 64°.

Step-wise calculation:

1. Use complementary-angle identities: 

cot θ = tan (90° – θ) and sec θ = cosec (90° – θ)

2. cot 78° = tan (90° – 78°) 

= tan 12°

3. sec 64° = cosec (90° – 64°) 

= cosec 26°

cot 78° + sec 64° = tan 12° + cosec 26°. 

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पाठ 18: Trigonometric Ratios of Some Standard Angles and Complementary Angles - Exercise 18C [पृष्ठ ३८०]

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नूतन Mathematics [English] Class 9 ICSE
पाठ 18 Trigonometric Ratios of Some Standard Angles and Complementary Angles
Exercise 18C | Q 12. | पृष्ठ ३८०
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