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Evaluate the Following: Cos 80° Cos 20° + Sin 80° Sin 20° - Mathematics

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प्रश्न

Evaluate the following:
 cos 80° cos 20° + sin 80° sin 20°

टीपा लिहा

उत्तर

\[\cos80^\circ\cos20^\circ + \sin80^\circ \sin20^\circ\]
\[ = \cos\left( 80^\circ - 20^\circ \right) \left[\text{ Using }\cos A \cos B + \sin A \sin B = \cos\left( A - B \right) \right]\]
\[ = \cos60^\circ = \frac{1}{2}\]

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पाठ 7: Values of Trigonometric function at sum or difference of angles - Exercise 7.1 [पृष्ठ १९]

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आरडी शर्मा Mathematics [English] Class 11
पाठ 7 Values of Trigonometric function at sum or difference of angles
Exercise 7.1 | Q 7.4 | पृष्ठ १९

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