Question

costheta/1-sintheta+1-sintheta/costheta=2sectheta​

Answer 1

Answer:

hey mate

here is your answer

LHS = cos theta / 1-sin theta + 1-sin theta / cos theta

= cos theta × cos theta + 1-sin theta × 1-sin theta / (cos theta) × (1-sin theta)

= cos sq theta + 1+ sin sq theta -2sin theta / (cos theta) × (1-sin theta)

= 2 -2sin theta / (cos theta) × (1-sin theta)

=2(1-sin theta )/ (cos theta) × (1-sin theta)

=2/cos theta

= 2 × 1/cos theta

=2 sec theta

= RHS

Hence proved