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