Trigonometry Examples

$\frac{2 \sin (t)}{\cos (2 t)}$

Step 1

Separate fractions.

$\frac{2}{1} \cdot \frac{\sin (t)}{\cos (2 t)}$

Step 2

Rewrite $\frac{\sin (t)}{\cos (2 t)}$ as a product.

$\frac{2}{1} (\sin (t) \frac{1}{\cos (2 t)})$

Step 3

Write $\sin (t)$ as a fraction with denominator $1$ .

$\frac{2}{1} (\frac{\sin (t)}{1} \cdot \frac{1}{\cos (2 t)})$

Step 4

Simplify.

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Step 4.1

Divide $\sin (t)$ by $1$ .

$\frac{2}{1} (\sin (t) \frac{1}{\cos (2 t)})$

Step 4.2

Convert from $\frac{1}{\cos (2 t)}$ to $\sec (2 t)$ .

$\frac{2}{1} (\sin (t) \sec (2 t))$

Step 5

Divide $2$ by $1$ .

$2 \sin (t) \sec (2 t)$