Trigonometry Examples

$\tan ((\frac{π}{2}) - x) \tan (x) = 1$

Step 1

Remove parentheses.

$\tan (\frac{π}{2} - x) \tan (x) = 1$

Step 2

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

$x \approx - 0.1, 0.1, - \frac{1}{5}, \frac{1}{5}, - \frac{1}{2}, - \frac{3}{5}, \frac{3}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x \approx - 0.1, 0.1, - \frac{1}{5}, \frac{1}{5}, - \frac{1}{2}, - \frac{3}{5}, \frac{3}{5}$

Decimal Form:

$x \approx - 0.1, 0.1, - 0.2, 0.2, - 0.5, - 0.6, 0.6$

Step 4