sinθ+cosθ=√2==>sin^2 θ+cos^2 θ+2sinθcosθ=2
==>1+2sinθcosθ=2==> sinθcosθ=1/2
tanθ+cotθ=sinθ/cosθ+cosθ/sinθ=(sin^2 θ+cos^2 θ)/sinθcosθ
=1/(1/2)=2
tanθ+cotθ=2