Question

1-cosx/1+cosx=(cotx-cosecx)^2

Answer 1

$</strong><strong>H</strong><strong>eya \: user \:$.......❤

L.H.S.

=(1-cos x)×(1-cos x)/(1+cos x)×(1-cos x)

=(1-cos x)^2/(1-cos^2x)

=(1-cos x)^2/(sin x)^2

=[(1-cos x)/sin x]^2

=[1/sin x - cos x/sin x]^2

=(cosec x- cot x)^2

R.H.S

(Proved)

Hope it’s helpful...... ☺

Answer 2

Step-by-step explanation:

L.H.S.

=(1-cos x)×(1-cos x)/(1+cos x)×(1-cos x)

=(1-cos x)^2/(1-cos^2x)

=(1-cos x)^2/(sin x)^2

=[(1-cos x)/sin x]^2

=[1/sin x - cos x/sin x]^2

=(cosec x- cot x)^2

R.H.S

(Proved)