Question

sec theta + tan theta = cos theta / 1-sin theta solve ut by RHS

Answer 1

Solving through RHS:

Divide and multiply by 1 + sinA:

=> cosA/(1 - sinA) × (1 + sinA)/(1 + sinA)

=> cosA(1 + sinA) / (1 - sinA)(1 + sinA)

=> cosA(1 + sinA) / (1 - sin²A)

=> cosA(1 + sinA) / cos²A

=> (1 + sinA) / cosA

=> (1/cosA) + (sinA/cosA)

=> secA + tanA , where A = theta.

Proved.