Trigonometry Examples

$\arctan (\sin (x)) = \frac{π}{3}$

Step 1

Take the inverse arctangent of both sides of the equation to extract $\sin (x)$ from inside the arctangent.

$\sin (x) = \tan (\frac{π}{3})$

Step 2

Simplify the right side.

Tap for more steps...

Step 2.1

The exact value of $\tan (\frac{π}{3})$ is $\sqrt{3}$ .

$\sin (x) = \sqrt{3}$

Step 3

The range of sine is $- 1 \leq y \leq 1$ . Since $\sqrt{3}$ does not fall in this range, there is no solution.

No solution