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Evaluate the Following: Sin 78° Cos 18° − Cos 78° Sin 18° - Mathematics

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प्रश्न

Evaluate the following:
sin 78° cos 18° − cos 78° sin 18°

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उत्तर

\[ \sin78^\circ\cos18^\circ - \cos 78^\circ \sin 18^\circ\]
\[ = \sin\left( 78^\circ - 18^\circ \right) \left[\text{ Using }\sin A \cos B - \cos A \sin B = \sin\left( A - B \right) \right]\]
\[ = \sin60^\circ = \frac{\sqrt{3}}{2}\]

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अध्याय 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
अध्याय 7 Values of Trigonometric function at sum or difference of angles
Exercise 7.1 | Q 7.1 | पृष्ठ १९

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