Question

prove that sec ( 1- sin a )( sec a + tan a) is equal to 1​

Answer 1

Answer:

Sec(1 - sinA) ( 1/cosA + SinA/CosA)

1/cos(1 - SinA) ( 1+ SinA) /CosA

1/cos(1 - Sin^2A /CosA)

1/cos(Cos^2/CosA)

=> 1/cos × Cos

=> 1

LHS = RHS = 1

Hence proved.