Question

Prove that 1/ (sec A – tan A) = sec A + tan A

Answer 1

Step-by-step explanation:

1/Sec theta - Tan theta = Sec theta + Tan theta

We have,

LHS = 1/Sec theta - Tan theta

1/Sec theta - Tan theta × (Sec theta+Tan theta)/(Sec theta+Tan theta)

=> (Sec theta+Tan theta)/(Sec²thta-Tan²theta)

=> Sec theta + Tan theta = RHS

Hence,proved.

LHS = RHS.....PROVED.....