Trigonometry Examples

$\cos (x) \csc (x) = \cot (x)$

Step 1

Simplify $\cos (x) \csc (x)$ .

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Step 1.1

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

$\cos (x) \frac{1}{\sin (x)} = \cot (x)$

Step 1.2

Combine $\cos (x)$ and $\frac{1}{\sin (x)}$ .

$\frac{\cos (x)}{\sin (x)} = \cot (x)$

Step 1.3

Convert from $\frac{\cos (x)}{\sin (x)}$ to $\cot (x)$ .

$\cot (x) = \cot (x)$

Step 2

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

$x \approx 0, - 0.1, - \frac{1}{5}, \frac{1}{5}, - 0.3, - \frac{2}{5}, \frac{2}{5}$

Step 3