Question

Prove that : cotA/(1-cotA) + tanA/(1-tanA) =-1​

Answer 1

Answer:

Here ur PERFECT ANSWER bro/di - -

Please Mark me as Brainliest !!

Step-by-step explanation:

L.H.S tanA/1-cotA +cotA/1-tanA

= tanA/1-1/tanA+1/tanA/1-tanA

= tanA/tanA-1/tanA + 1/tanA(1-tanA)

tan^2A/tanA-1-1/tanA(tanA-1)

= tan^3A-1/tanA(tanA-1)

(tanA-1)(tan^2A+1+tanA)/tanA(tanA-1)

tan^2A/tanA + 1/tanA +tanA/tanA

tanA + CotA +1

= 1+ tanA +cotA = R.H.S