Trigonometry Examples

$\tan (2 x) + 2 \cos (x) = 0$

Step 1

Simplify $\tan (2 x) + 2 \cos (x)$ .

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Step 1.1

Rewrite $\tan (2 x)$ in terms of sines and cosines.

$\frac{\sin (2 x)}{\cos (2 x)} + 2 \cos (x) = 0$

Step 1.2

Convert from $\frac{\sin (2 x)}{\cos (2 x)}$ to $\tan (2 x)$ .

$\tan (2 x) + 2 \cos (x) = 0$

Step 2

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

$x \approx - 0.52359877, 1.5703125, - 1.57079632, - 2.61799387, 3.66519142, 4.71238898, - 4.7125$

Step 3