Question

Prove 1 minus tan square A by cot square A minus 1 is equal to tan square ​

Answer 1

Answer:

(1-tan^2 A)/(cot^2 A-1/={1-(sin A/cos A)^2/{(cos A/sin A)^2-1}

{(cos^2 A-sin^2 A)/cos^2 A}/{(cos^2 A - sin^2A)/sin^2 A}= sin^2 A/cos^2 A= tan^2 A