Trigonometry Examples

$\sin (x) + \sqrt{3} \cos (x) - 1 < 0$

Step 1

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

$x = \frac{π}{2} + 2 π n, \frac{11 π}{6} + 2 π n$ , for any integer $n$

Step 2

Use each root to create test intervals.

$x < \frac{π}{2} + 2 π n$

$x > \frac{π}{2} + 2 π n$

Step 3

Compare the intervals to determine which ones satisfy the original inequality.

Step 4

Since there are no numbers that fall within the interval, this inequality has no solution.

No solution