Question

prove that cos/1-sin+cos/1+sin=2sec​

Answer 1

Step-by-step explanation:

cos/1-sin + cos/1+sin

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

=cos+sincos+cos-sincos/1-sin²

=2cos/cos²

=2/cos

=2sec

Answer 2

Step-by-step explanation:

cos/1-sin + cos/1+sin

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

=cos+sincos+cos-sincos/1-sin²

=2cos/cos²

=2/cos

=2sec