Trigonometry Examples

$2 \sin (x) \cos (x) + \sqrt{3} \cos (x) = 0$

Step 1

Apply the sine double-angle identity.

$\sin (2 x) + \sqrt{3} \cos (x) = 0$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = \frac{π}{2} + 2 π n, \frac{4 π}{3} + 2 π n, \frac{3 π}{2} + 2 π n, \frac{5 π}{3} + 2 π n$ , for any integer $n$

Step 3