Prove the trigonometric identity $\tan\left(c\right)+\cot\left(c\right)=\sec\left(c\right)\csc\left(c\right)$

Learn how to solve proving trigonometric identities problems step by step online. Prove the trigonometric identity tan(c)+cot(c)=sec(c)csc(c). Starting from the right-hand side (RHS) of the identity. Applying the secant identity: \displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}. Applying the cosecant identity: \displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}. Multiplying fractions \frac{1}{\cos\left(c\right)} \times \frac{1}{\sin\left(c\right)}.