Trigonometry Examples

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

Step 1

Simplify $\cos (x) - \sec (x)$ .

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Step 1.1

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

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

Step 1.2

Convert from $\frac{1}{\cos (x)}$ to $\sec (x)$ .

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

Step 2

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

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

Step 3