Question

prove that (cosecA-sinA)(secA-cosA)= 1/tanA+cotA​

Answer 1

Here is ur answer hope it help u.... From. My CW copy...

Answer 2

L.H.S

(cosecA-sinA)(secA-cosA)

=(1/sinA-sinA)(1/cosA-cosA)

=(1-sin^2 A/sinA)(1-cos^2 A/cosA)

=(cos^2 A/ sinA)(sin^2 A/cosA)

= cosA.sinA

R.H.S

1/ tanA+cotA

=1/(sinA/cosA+cosA/sinA)

=1/(sin^A+cos^2A/cosA.sinA)

=1/(1/cosA.sinA)

=cosA.sinA

L.H.S=R.H.S

(PROVED)

hope it will help you ☺️