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Evaluate: tan 42° tan 25° tan 48° tan 65° tan 45° - Mathematics

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प्रश्न

Evaluate:

tan 42° tan 25° tan 48° tan 65° tan 45°

मूल्यांकन
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उत्तर

Given: tan 42° · tan 25° · tan 48° · tan 65° · tan 45°

Step-wise calculation:

1. tan 45° = 1

2. tan 42° · tan 48° 

= tan 42° · tan (90° – 42°) 

= tan 42° · cot 42°

= 1

3. tan 25° · tan 65° 

= tan 25° · tan (90° – 25°) 

= tan 25° · cot 25°

= 1

4. Multiply: 

1 · 1 · 1 

= 1

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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 7. | पृष्ठ ३८०
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