Question

to prove
1+ cot square A/1+ tan square A = cosec square A -1​

Answer 1

L.H.S= 1+cot square A/1+tan square A

=cosec square A /sec square A.

R.H.S=cosec square A-1

=1/sin square A -1

=1- sin square A/ sin square A

=cos square A/sin square A

=1/sec square A ÷1/cosec square A

=1/sec square A ×cosec square A/1

=cosec square A/sec square A Since , L.H.S=R.H.S

Hence proved.