Trigonometry Examples

$y = \cos (B) (x - C)$

Step 1

Rewrite the equation as $\cos (B) (x - C) = y$ .

$\cos (B) (x - C) = y$

Step 2

Divide each term in $\cos (B) (x - C) = y$ by $x - C$ and simplify.

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Step 2.1

Divide each term in $\cos (B) (x - C) = y$ by $x - C$ .

$\frac{\cos (B) (x - C)}{x - C} = \frac{y}{x - C}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $x - C$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{\cos (B) (x - C)}{x - C} = \frac{y}{x - C}$

Step 2.2.1.2

Divide $\cos (B)$ by $1$ .

$\cos (B) = \frac{y}{x - C}$

Step 3

Take the inverse cosine of both sides of the equation to extract $B$ from inside the cosine.

$B = \arccos (\frac{y}{x - C})$