Question

1+sectheta/sectheta=sin^2theta/1-costheta

Answer 1

LHS
1 + sec A/sec A
=1 +1/cosA÷1/cos A
=cos A+1/cosA÷1/cos A
=cos A+1/cos A×cos A
=cos A+1

RHS
sin A×sin A/1-cos A
=1-cos^2 A
__________
1-cosA

=(1+cos A) (1-cosA)
_______________
(1-cosA)

=1+cosA
=LHS
Hence proves