Finite Math Examples

$s = \frac{5}{0.3} \cdot (\sin (2 \cdot 0.3) t) + 5$

Step 1

Rewrite the equation as $\frac{5}{0.3} \cdot (\sin (2 \cdot 0.3) t) + 5 = s$ .

$\frac{5}{0.3} \cdot (\sin (2 \cdot 0.3) t) + 5 = s$

Step 2

Simplify the left side.

Tap for more steps...

Step 2.1

Simplify each term.

Tap for more steps...

Step 2.1.1

Divide $5$ by $0.3$ .

$16.\overline{6} \cdot (\sin (2 \cdot 0.3) t) + 5 = s$

Step 2.1.2

Multiply $2$ by $0.3$ .

$16.\overline{6} \cdot (\sin (0.6) t) + 5 = s$

Step 2.1.3

Multiply $\sin (0.6)$ by $16.\overline{6}$ .

$9.41070788 t + 5 = s$

Step 3

Subtract $5$ from both sides of the equation.

$9.41070788 t = s - 5$

Step 4

Divide each term in $9.41070788 t = s - 5$ by $9.41070788$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $9.41070788 t = s - 5$ by $9.41070788$ .

$\frac{9.41070788 t}{9.41070788} = \frac{s}{9.41070788} + \frac{- 5}{9.41070788}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Cancel the common factor of $9.41070788$ .

Tap for more steps...

Step 4.2.1.1

Cancel the common factor.

$\frac{9.41070788 t}{9.41070788} = \frac{s}{9.41070788} + \frac{- 5}{9.41070788}$

Step 4.2.1.2

Divide $t$ by $1$ .

$t = \frac{s}{9.41070788} + \frac{- 5}{9.41070788}$

Step 4.3

Simplify the right side.

Tap for more steps...

Step 4.3.1

Simplify each term.

Tap for more steps...

Step 4.3.1.1

Multiply by $1$ .

$t = \frac{1 s}{9.41070788} + \frac{- 5}{9.41070788}$

Step 4.3.1.2

Factor $9.41070788$ out of $9.41070788$ .

$t = \frac{1 s}{9.41070788 (1)} + \frac{- 5}{9.41070788}$

Step 4.3.1.3

Separate fractions.

$t = \frac{1}{9.41070788} \cdot \frac{s}{1} + \frac{- 5}{9.41070788}$

Step 4.3.1.4

Divide $1$ by $9.41070788$ .

$t = 0.10626193 \frac{s}{1} + \frac{- 5}{9.41070788}$

Step 4.3.1.5

Divide $s$ by $1$ .

$t = 0.10626193 s + \frac{- 5}{9.41070788}$

Step 4.3.1.6

Divide $- 5$ by $9.41070788$ .

$t = 0.10626193 s - 0.53130965$