Learn how to solve problems step by step online. Solve the trigonometric equation tan(a)+cot(a)=sec(a)cos(a). Applying the trigonometric identity: \cos\left(\theta \right)\sec\left(\theta \right) = 1. Move everything to the left hand side of the equation. Applying the tangent identity: \displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}. Applying the trigonometric identity: \cot\left(\theta \right) = \frac{\cos\left(\theta \right)}{\sin\left(\theta \right)}.

Solve the trigonometric equation tan(a)+cot(a)=sec(a)cos(a)