If tanθ + cotθ = 2  and   0 < θ <  90° . Find the value of θ .

60° 30° 45° 90°

45°

tanθ + \(\frac{1}{tanθ}\) = 2  Put θ = 45°  ⇒ tan45° + \(\frac{1}{tan45°}\) = 2  satisfied the equation ,  so  θ = 45°