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

Question

KnowledgeBoat · Accepted Answer

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

Mathematics

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

Trigonometric Identities

Related Questions

(sin A + cos A)(sec A + cosec A) = 2 + sec A cosec A

Mathematics

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

Trigonometric Identities

Related Questions

(sin A + cos A)(sec A + cosec A) = 2 + sec A cosec A

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