मराठी

Prove the following identities: (1 + cot A + tan A) (sin A – cos A) = sin A tan A – cot A cos A

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प्रश्न

Prove the following identities:

(1 + cot A + tan A) (sin A – cos A) = sin A tan A – cot A cos A

सिद्धांत
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उत्तर

LHS = `(1 + (cos A)/(sin A) + (sin A)/(cos A))(sin A - cos A)`

= (sin A + cos A + sin A tan A – cos A – cot A cos A – sin A)

= (sin A tan A – cot A cos A) = RHS.

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पाठ 13: Trigonometric identities - EXERCISE 13A [पृष्ठ ६१७]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 13 Trigonometric identities
EXERCISE 13A | Q 12. | पृष्ठ ६१७
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