Trigonometry Examples

$\sin ((\frac{π}{2}) - x) = \cos (x)$

Step 1

Remove parentheses.

$\sin (\frac{π}{2} - x) = \cos (x)$

Step 2

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

$x \approx - \frac{4}{5}, - 0.9, - \frac{7}{5}, - \frac{3}{2}, - \frac{8}{5}, \frac{8}{5}, \frac{9}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$x \approx - \frac{4}{5}, - 0.9, - \frac{7}{5}, - \frac{3}{2}, - \frac{8}{5}, \frac{8}{5}, \frac{9}{5}$

Decimal Form:

$x \approx - 0.8, - 0.9, - 1.4, - 1.5, - 1.6, 1.6, 1.8$

Mixed Number Form:

$x \approx - \frac{4}{5}, - 0.9, - 1 \frac{2}{5}, - 1 \frac{1}{2}, - 1 \frac{3}{5}, 1 \frac{3}{5}, 1 \frac{4}{5}$

Step 4