Basic Math Examples

$y = (1 + \sin (7 t) - 4)$

Step 1

Rewrite the equation as $1 + \sin (7 t) - 4 = y$ .

$1 + \sin (7 t) - 4 = y$

Step 2

Subtract $4$ from $1$ .

$\sin (7 t) - 3 = y$

Step 3

Add $3$ to both sides of the equation.

$\sin (7 t) = y + 3$

Step 4

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

$7 t = \arcsin (y + 3)$

Step 5

Divide each term in $7 t = \arcsin (y + 3)$ by $7$ and simplify.

Tap for more steps...

Step 5.1

Divide each term in $7 t = \arcsin (y + 3)$ by $7$ .

$\frac{7 t}{7} = \frac{\arcsin (y + 3)}{7}$

Step 5.2

Simplify the left side.

Tap for more steps...

Step 5.2.1

Cancel the common factor of $7$ .

Tap for more steps...

Step 5.2.1.1

Cancel the common factor.

$\frac{7 t}{7} = \frac{\arcsin (y + 3)}{7}$

Step 5.2.1.2

Divide $t$ by $1$ .

$t = \frac{\arcsin (y + 3)}{7}$