Trigonometry Examples

$4 \sin (x) - \csc (x) = 1$

Step 1

Simplify $4 \sin (x) - \csc (x)$ .

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Step 1.1

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

$4 \sin (x) - \frac{1}{\sin (x)} = 1$

Step 1.2

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

$4 \sin (x) - \csc (x) = 1$

Step 2

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

$x \approx 0.69500359 + 2 π n, 2.44658905 + 2 π n, 3.54264587 + 2 π n, 5.88213209 + 2 π n$ , for any integer $n$

Step 3