Question

prove that: 1-cosФ÷sinФ = 1÷cosecФ+cotФ

Answer 1

Step-by-step explanation:

1-cos●÷sin●=(1-cos●)(1+cos●)÷sin●(1+cos●)

= 1-cos^2●÷sin●(1+cos●)

=sin^2●÷sin●(1+cos●)

=sin●÷1+cos●

=sin●÷sin●÷(1+cos●)÷sin●

=1÷(cosec●+cot●)

(proved)