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Prove That: Cos1° Cos2° Cos3° ... Cos180° = 0 - Mathematics

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प्रश्न

Prove that:

cos1° cos2° cos3° ... cos180° = 0

बेरीज
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उत्तर

LHS \[ = \cos1^\circ \cos2^\circ \cos3^\circ . . . \cos180^\circ \]

\[ = \cos1^\circ \times \cos2^\circ \times \cos3^\circ \times . . . \times \cos90^\circ \times . . . \cos180^\circ \]

\[ = \cos1^\circ \times \cos2^\circ \times \cos3^\circ \times . . . \times 0 \times . . . \cos180^\circ \]

= 0

= RHS

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पाठ 7: Trigonometric Ratios of Complementary Angles - Exercises [पृष्ठ ३१३]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 7 Trigonometric Ratios of Complementary Angles
Exercises | Q 6.4 | पृष्ठ ३१३
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