Trigonometry Examples

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

Step 1

Simplify $\sin (x + \frac{π}{4}) - \sin (x - (\frac{π}{4}))$ .

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Step 1.1

Remove parentheses.

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

Step 1.2

Multiply $- 1$ by $\frac{π}{4}$ .

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

Step 2

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

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

Step 3