Question

prove 1+sin A - cos A/1+sin A + cos A =tan A/2​

Answer 1

Answer:

Step-by-step explanation:

LHS = cosA / 1+sinA   +   1+sinA / cosA

       =(cos^2A+1+sin^2A+2sinA )  /cosA(1+sinA)

       = (2+2sinA)   /  cosA(1+sinA)

       = {2(1+sinA)}  /  cosA (1+sinA)

       = 2 / cosA

       = 2secA

RHS = 2secA

          therefore ,  LHS = RHS