Simplify sin(2)(x)sec(2)(x)-sin(2)x

$\sin (2) (x) \sec (2) (x) - \sin (2) x$

Simplify each term.

Multiply $x$ by $x$ by adding the exponents.

Move $x$ .

$\sin (2) (x \cdot x) \sec (2) - \sin (2) x$

Multiply $x$ by $x$ .

$\sin (2) x^{2} \sec (2) - \sin (2) x$

Rewrite $\sec (2)$ in terms of sines and cosines.

$\sin (2) x^{2} \frac{1}{\cos (2)} - \sin (2) x$

Multiply $\sin (2) x^{2} \frac{1}{\cos (2)}$ .

Combine $\sin (2)$ and $\frac{1}{\cos (2)}$ .

$x^{2} \frac{\sin (2)}{\cos (2)} - \sin (2) x$

Combine $x^{2}$ and $\frac{\sin (2)}{\cos (2)}$ .

$\frac{x^{2} \sin (2)}{\cos (2)} - \sin (2) x$

Simplify each term.

Separate fractions.

$\frac{x^{2}}{1} \cdot \frac{\sin (2)}{\cos (2)} - \sin (2) x$

Convert from $\frac{\sin (2)}{\cos (2)}$ to $\tan (2)$ .

$\frac{x^{2}}{1} \tan (2) - \sin (2) x$

Divide $x^{2}$ by $1$ .

$x^{2} \tan (2) - \sin (2) x$

Reorder factors in $x^{2} \tan (2) - \sin (2) x$ .

$x^{2} \tan (2) - x \sin (2)$