Question

what is the value of 1- sin theta / 1+ sin theta - (sec theta- tan theta)²​

Answer 1

Answer:

LHS =

1+sinθ

1−sinθ

Multiply and divide by (1−sinθ)

=

1+sinθ

1−sinθ

×

1−sinθ

1−sinθ

=

cos

2

θ

(1−sinθ)

2

=(

cosθ

1−sinθ

)

2

=(secθ−tanθ)

2

=RHS