Question

show that√1+sinA/1-sinA=secA+tanA​

Answer 1

Answer:

Rationalise the LHS your answer will come.

Answer 2

Answer:

LHS=RHS

Step-by-step explanation:

√1+sinA/1-sinA

Factorising LHS,

√1+sinA/1-sinA×1+sinA/1+sinA

√(1+sinA)²/(1)²-(sinA)²

√(1+sinA)²/1-sin²A

√(1+sinA)²/cos²A

1+sinA/cos

1/cosA+sinA/cosA

secA+tanA