Trigonometry Examples

cos (x + \frac{π}{4}) - cos (x - \frac{π}{4}) = 1

$\cos (x + \frac{π}{4}) - \cos (x - \frac{π}{4}) = 1$

Step 1

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

x = \frac{5 π}{4} + 2 π n, \frac{7 π}{4} + 2 π n

$x = \frac{5 π}{4} + 2 π n, \frac{7 π}{4} + 2 π n$ , for any integer

n

$n$

Step 2