Trigonometry Examples

$\cos (x) \tan (x) = \sin (x)$

Step 1

Rewrite in terms of sines and cosines, then cancel the common factors.

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Step 1.1

Reorder $\cos (x)$ and $\tan (x)$ .

$\tan (x) \cos (x) = \sin (x)$

Step 1.2

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

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

Step 1.3

Cancel the common factors.

$\sin (x) = \sin (x)$

Step 2

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

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

Step 3