Prove that : sin A(1 + tan A) + cos A(1 + cot A) = sec A + cosec A

Question

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To prove: Equation : sin A(1 + tan A) + cos A(1 + cot A) = sec A + cosec A. Solving L.H.S. of the above equation : By formula, sin² A + cos² A = 1. ∴ L.H.S. = R.H.S. Hence, proved that sin A(1 + tan A) + cos A(1 + cot A) = sec A + cosec A.

Mathematics

Prove that :
sin A(1 + tan A) + cos A(1 + cot A) = sec A + cosec A

Trigonometric Identities

Related Questions

Prove that :
sin² A tan A + cos² A cot A + 2 sin A cos A = tan A + cot A

Mathematics

Prove that :sin A(1 + tan A) + cos A(1 + cot A) = sec A + cosec A

Trigonometric Identities

Related Questions

Prove that :sin2 A tan A + cos2 A cot A + 2 sin A cos A = tan A + cot A

Prove that :
sin A(1 + tan A) + cos A(1 + cot A) = sec A + cosec A

Prove that :
sin² A tan A + cos² A cot A + 2 sin A cos A = tan A + cot A