Precalculus Examples

$2 \sin (2 (x + \frac{π}{3})) + 2$

Step 1

Factor $2$ out of $2 \sin (2 (x + \frac{π}{3})) + 2$ .

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Step 1.1

Factor $2$ out of $2 \sin (2 (x + \frac{π}{3}))$ .

$2 (\sin (2 (x + \frac{π}{3}))) + 2$

Step 1.2

Factor $2$ out of $2$ .

$2 (\sin (2 (x + \frac{π}{3}))) + 2 (1)$

Step 1.3

Factor $2$ out of $2 (\sin (2 (x + \frac{π}{3}))) + 2 (1)$ .

$2 (\sin (2 (x + \frac{π}{3})) + 1)$

Step 2

Apply the distributive property.

$2 (\sin (2 x + 2 \frac{π}{3}) + 1)$

Step 3

Combine $2$ and $\frac{π}{3}$ .

$2 (\sin (2 x + \frac{2 π}{3}) + 1)$

Step 4

Apply the distributive property.

$2 \sin (2 x + \frac{2 π}{3}) + 2 \cdot 1$

Step 5

Multiply $2$ by $1$ .

$2 \sin (2 x + \frac{2 π}{3}) + 2$

Step 6

Factor $2$ out of $2 \sin (2 x + \frac{2 π}{3}) + 2$ .

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Step 6.1

Factor $2$ out of $2 \sin (2 x + \frac{2 π}{3})$ .

$2 (\sin (2 x + \frac{2 π}{3})) + 2$

Step 6.2

Factor $2$ out of $2$ .

$2 (\sin (2 x + \frac{2 π}{3})) + 2 (1)$

Step 6.3

Factor $2$ out of $2 (\sin (2 x + \frac{2 π}{3})) + 2 (1)$ .

$2 (\sin (2 x + \frac{2 π}{3}) + 1)$