Here, we show you a step-by-step solved example of trigonometry. This solution was automatically generated by our smart calculator:
Starting from the left-hand side (LHS) of the identity
Applying the tangent identity: $\displaystyle\tan\left(\theta\right)=\frac{\sin\left(\theta\right)}{\cos\left(\theta\right)}$
Multiplying the fraction by $\cos\left(z\right)\csc\left(z\right)$
Simplify the fraction $\frac{\sin\left(z\right)\cos\left(z\right)\csc\left(z\right)}{\cos\left(z\right)}$ by $\cos\left(z\right)$
Multiplying the fraction by $\cos\left(z\right)\csc\left(z\right)$
Applying the cosecant identity: $\displaystyle\csc\left(\theta\right)=\frac{1}{\sin\left(\theta\right)}$
Multiplying the fraction by $\sin\left(z\right)$
Simplify the fraction $\frac{\sin\left(z\right)}{\sin\left(z\right)}$ by $\sin\left(z\right)$
Since we have reached the expression of our goal, we have proven the identity
Access detailed step by step solutions to thousands of problems, growing every day!
Most popular problems solved with this calculator: