Prove that 1- A-tan Asin A-cos A-sin Atan A- Acos A-

LHS (1+ A+tan A)(sin A cos A) sin A+sin A A+sin Atan A cos A Acos A cos Atan A sin A+sin Acos Asin A+sin Atan A cos A Acos A cos Asin Acos A s ...

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Trigonometric Identities

Prove that ...

Question

Prove that $(1 + cot A + tan A) (sin A - cos A) = sin A tan A - cot A cos A$ .

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(1 + \cot A + \tan A) (\sin A - \cos A) = \frac{\sec A}{{cosec}^{2} A} - \frac{cosec A}{\sec^{2} A} = \sin A \tan A - \cot A \cos A

Prove the following identities:

$(1 + c o t A + t a n A) (s i n A - c o s A) = \frac{s e c A}{c o s e c^{2} A} - \frac{c o s e c A}{s e c^{2} A} = s i n A t a n A - c o t A c o s A$

(1 + cot A + tan A) (sin A - cos A) = \frac{sec A}{{cosec}^{2} A} - \frac{cosec A}{{sec}^{2} A} = sin A tan A - cot A cos A

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

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