Question

cot² A/(cosec A +1)=1-sin A/1+sin A

Answer 1

Step-by-step explanation:

cot² A/(cosec A + 1)²= (1-sin A)/(1+sin A)

LS = cot² A/(cosec A + 1)²

= (cos^2 A/sin^2 A)/(1/sina + 1)^2

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

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

= cos^2 A/(1+sinA)^2

= (1-sin^2 A)/(1+sinA)^2

= (1-sinA)(1+sinA)/( (1+sinA)(1+sinA) )

= (1 - sinA)/(1 + sinA)

= RS