Solved example of proving trigonometric identities

Applying the secant identity: $\displaystyle\sec\left(\theta\right)=\frac{1}{\cos\left(\theta\right)}$

Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$

Apply the formula: $\cot\left(x\right)$$=\frac{\cos\left(x\right)}{\sin\left(x\right)}$

Multiplying fractions

Simplify the fraction by $\cos\left(x\right)$

Both expressions are equal