Trigonometry Examples

$\sin (7 x) - \sin (3 x)$

Step 1

Apply the sine triple-angle identity.

$\sin (7 x) - (- 4 \sin^{3} (x) + 3 \sin (x))$

Step 2

Apply the distributive property.

$\sin (7 x) - (- 4 \sin^{3} (x)) - (3 \sin (x))$

Step 3

Multiply $- 4$ by $- 1$ .

$\sin (7 x) + 4 \sin^{3} (x) - (3 \sin (x))$

Step 4

Multiply $3$ by $- 1$ .

$\sin (7 x) + 4 \sin^{3} (x) - 3 \sin (x)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$