Question

prove that : 1/1-sinA+ 1/1+sinA=2sec²A

Answer 1

HEY MATE HERE IS YOUR ANSWER
____________________

1/1-sinA + 1/1+sinA = 2sec^2A

1+sinA + 1 -sinA
= ---------------------- = 2sec^2A
(1-sin2A)

2
= ------------ = 2 sec^2A
cos^2A
= 2sec^2A = 2sec^2A

Answer 2

Hi , there!!!

1 / 1 - sinA + 1 /1+ sinA = 2sec² A

1 × 1 -sinA / 1 + sinA / 1 + sinA + 1 × 1 - sinA / 1 +sinA × 1 -sinA


=> 1- SinA / Cos² A + 1 - sinA / cos²A


=> 2 / cos²A

=> 2 sec²A proved


formula used = sin²A + Cos²A = 1


hope it helps you!!!


thanks !!!

Ranjan kumar