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Evaluate: sin 40° sin 50° – cos 40° cos 50° - Mathematics

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प्रश्न

Evaluate: 

sin 40° sin 50° – cos 40° cos 50°

मूल्यांकन
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उत्तर

Given: sin 40° sin 50° – cos 40° cos 50°

Step-wise calculation:

1. Use the identity cos (A + B) = cos A cos B – sin A sin B.

2. Rearrange the expression:

sin 40° sin 50° – cos 40° cos 50°

= –(cos 40° cos 50° – sin 40° sin 50°)

= –cos (40° + 50°)

3. Compute the angle:

–cos(90°) = –0

= 0

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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 3. | पृष्ठ ३८०
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