যদি sin θ = 1/√2 হয়, তাহলে (tan θ + cos θ) =

sin θ = 1/√2 gives θ = 45°, so tan θ = 1 and cos θ = 1/√2. Then tan θ + cos θ = 1 + 1/√2 = (√2 + 1)/√2.