Trigonometry Examples

$100 = 100 + 50 \sin (\frac{12 π}{5} t)$

Step 1

Move all the expressions to the left side of the equation.

Tap for more steps...

Step 1.1

Subtract $100$ from both sides of the equation.

$100 - 100 = 50 \sin (\frac{12 π}{5} t)$

Step 1.2

Subtract $50 \sin (\frac{12 π}{5} t)$ from both sides of the equation.

$100 - 100 - 50 \sin (\frac{12 π}{5} t) = 0$

Step 2

Simplify $100 - 100 - 50 \sin (\frac{12 π}{5} t)$ .

Tap for more steps...

Step 2.1

Subtract $100$ from $100$ .

$0 - 50 \sin (\frac{12 π}{5} t) = 0$

Step 2.2

Subtract $50 \sin (\frac{12 π}{5} t)$ from $0$ .

$- 50 \sin (\frac{12 π}{5} t) = 0$

Step 2.3

Combine $\frac{12 π}{5}$ and $t$ .

$- 50 \sin (\frac{12 π t}{5}) = 0$

Step 3

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.