Question

2. Prove: 1- tan²theta/cot²theta-1= tan²theta​

Answer 1

Step-by-step explanation:

let theta = x

so,

LHS,,

(1-tan²x)/(cot²x-1)

= (1-tan²x)/(1/tan²x-1)

= [1-tan²x]/[(1-tan²x)/tan²x]

= 1×tan²x

= tan²x

so, => tan²theta = RHS

hence proved....