Trigonometry Examples

$2 \sin (x) - 1 - \csc (x) = 0$

Step 1

Simplify $2 \sin (x) - 1 - \csc (x)$ .

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Step 1.1

Rewrite $\csc (x)$ in terms of sines and cosines.

$2 \sin (x) - 1 - \frac{1}{\sin (x)} = 0$

Step 1.2

Convert from $\frac{1}{\sin (x)}$ to $\csc (x)$ .

$2 \sin (x) - 1 - \csc (x) = 0$

Step 2

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

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

Step 3