Simplify the trigonometric expression sin(4x)sec(2x)csc(2x)

 Exercise

$\sin\left(4x\right)\cdot\sec\left(2x\right)\cdot\csc\left(2x\right)$

 

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

$\sin\left(4x\right)\sec\left(2x\right)\frac{1}{\sin\left(2x\right)}$

 

Multiplying the fraction by $\sin\left(4x\right)\sec\left(2x\right)$

$\frac{1\sin\left(4x\right)\sec\left(2x\right)}{\sin\left(2x\right)}$

 

Any expression multiplied by $1$ is equal to itself

$\frac{\sin\left(4x\right)\sec\left(2x\right)}{\sin\left(2x\right)}$

$\frac{\sin\left(4x\right)\sec\left(2x\right)}{\sin\left(2x\right)}$

 Try other ways to solve this exercise

Can't find a method? Tell us so we can add it.