Trigonometry Examples

$y = \sin (\frac{1}{2}) (x - C)$

Step 1

Rewrite the equation as $\sin (\frac{1}{2}) (x - C) = y$ .

$\sin (\frac{1}{2}) (x - C) = y$

Step 2

Divide each term in $\sin (\frac{1}{2}) (x - C) = y$ by $\sin (\frac{1}{2})$ and simplify.

Tap for more steps...

Step 2.1

Divide each term in $\sin (\frac{1}{2}) (x - C) = y$ by $\sin (\frac{1}{2})$ .

$\frac{\sin (\frac{1}{2}) (x - C)}{\sin (\frac{1}{2})} = \frac{y}{\sin (\frac{1}{2})}$

Step 2.2

Simplify the left side.

Tap for more steps...

Step 2.2.1

Cancel the common factor of $\sin (\frac{1}{2})$ .

Tap for more steps...

Step 2.2.1.1

Cancel the common factor.

$\frac{\sin (\frac{1}{2}) (x - C)}{\sin (\frac{1}{2})} = \frac{y}{\sin (\frac{1}{2})}$

Step 2.2.1.2

Divide $x - C$ by $1$ .

$x - C = \frac{y}{\sin (\frac{1}{2})}$

Step 2.3

Simplify the right side.

Tap for more steps...

Step 2.3.1

Separate fractions.

$x - C = \frac{y}{1} \cdot \frac{1}{\sin (\frac{1}{2})}$

Step 2.3.2

Convert from $\frac{1}{\sin (\frac{1}{2})}$ to $\csc (\frac{1}{2})$ .

$x - C = \frac{y}{1} \csc (\frac{1}{2})$

Step 2.3.3

Divide $y$ by $1$ .

$x - C = y \csc (\frac{1}{2})$

Step 2.3.4

Evaluate $\csc (\frac{1}{2})$ .

$x - C = y \cdot 2.08582964$

Step 2.3.5

Move $2.08582964$ to the left of $y$ .

$x - C = 2.08582964 y$

Step 3

Subtract $x$ from both sides of the equation.

$- C = 2.08582964 y - x$

Step 4

Divide each term in $- C = 2.08582964 y - x$ by $- 1$ and simplify.

Tap for more steps...

Step 4.1

Divide each term in $- C = 2.08582964 y - x$ by $- 1$ .

$\frac{- C}{- 1} = \frac{2.08582964 y}{- 1} + \frac{- x}{- 1}$

Step 4.2

Simplify the left side.

Tap for more steps...

Step 4.2.1

Dividing two negative values results in a positive value.

$\frac{C}{1} = \frac{2.08582964 y}{- 1} + \frac{- x}{- 1}$

Step 4.2.2

Divide $C$ by $1$ .

$C = \frac{2.08582964 y}{- 1} + \frac{- x}{- 1}$

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

Move the negative one from the denominator of $\frac{2.08582964 y}{- 1}$ .

$C = - 1 \cdot (2.08582964 y) + \frac{- x}{- 1}$

Step 4.3.1.2

Rewrite $- 1 \cdot (2.08582964 y)$ as $- (2.08582964 y)$ .

$C = - (2.08582964 y) + \frac{- x}{- 1}$

Step 4.3.1.3

Multiply $2.08582964$ by $- 1$ .

$C = - 2.08582964 y + \frac{- x}{- 1}$

Step 4.3.1.4

Dividing two negative values results in a positive value.

$C = - 2.08582964 y + \frac{x}{1}$

Step 4.3.1.5

Divide $x$ by $1$ .

$C = - 2.08582964 y + x$