Trigonometry Examples

$y = \sin (x - \frac{7 π}{4})$

Step 1

Rewrite the equation as $\sin (x - \frac{7 π}{4}) = y$ .

$\sin (x - \frac{7 π}{4}) = y$

Step 2

Take the inverse sine of both sides of the equation to extract $x$ from inside the sine.

$x - \frac{7 π}{4} = \arcsin (y)$

Step 3

Add $\frac{7 π}{4}$ to both sides of the equation.

$x = \arcsin (y) + \frac{7 π}{4}$