Question

Prove that Tan(π/4+x)+tanA(π/4-x)=2sec2x

Answer 1

In the attachment I have proved this problem.

tan(A+B) and tan(A-B) formulas is applied.

Simplifications are done step by step
to get the required result.

See the attachment for detailed solution.
I hope this answer help you

Answer 2

Answer:

In the attachment I have proved this problem.

tan(A+B) and tan(A-B) formulas is applied.

Simplifications are done step by step to get the required result.

See the attachment for detailed solution. I hope this answer help you