Precalculus Examples

$3 \cos (x) - \cot (x) = 0$

Step 1

Simplify $3 \cos (x) - \cot (x)$ .

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Step 1.1

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

$3 \cos (x) - \frac{\cos (x)}{\sin (x)} = 0$

Step 1.2

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

$3 \cos (x) - \cot (x) = 0$

Step 2

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

$x \approx 0.3398369 + 2 π n, \frac{π}{2} + 2 π n, 2.80175574 + 2 π n, \frac{3 π}{2} + 2 π n$ , for any integer $n$

Step 3