Tan theta-cot theta =0 then find the value of sin theta +cos theta?

Hello Triveni dear, given tan A - cot A = 0
==> tan A - 1/tan A = 0
==> tan^2 A - 1 = tan A * 0 = 0
So tan^2 A = 1
==> tan A = 1 
So A = 45 deg
Hence sin A + cos A = sin 45 + cos 45 = 2/√2 = √2