Trigonometry Examples

$y = \arcsin (n) (k x) + C$

Step 1

Rewrite the equation as $\arcsin (n) k x + C = y$ .

$\arcsin (n) k x + C = y$

Step 2

Simplify the left side.

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Reorder factors in $\arcsin (n) k x + C$ .

$k x \arcsin (n) + C = y$

Step 3

Subtract $C$ from both sides of the equation.

$k x \arcsin (n) = y - C$

Step 4

Divide each term in $k x \arcsin (n) = y - C$ by $k \arcsin (n)$ and simplify.

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Divide each term in $k x \arcsin (n) = y - C$ by $k \arcsin (n)$ .

$\frac{k x \arcsin (n)}{k \arcsin (n)} = \frac{y}{k \arcsin (n)} + \frac{- C}{k \arcsin (n)}$

Simplify the left side.

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Cancel the common factor of $k$ .

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Cancel the common factor.

$\frac{k x \arcsin (n)}{k \arcsin (n)} = \frac{y}{k \arcsin (n)} + \frac{- C}{k \arcsin (n)}$

Rewrite the expression.

$\frac{x \arcsin (n)}{\arcsin (n)} = \frac{y}{k \arcsin (n)} + \frac{- C}{k \arcsin (n)}$

Cancel the common factor of $\arcsin (n)$ .

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Cancel the common factor.

$\frac{x \arcsin (n)}{\arcsin (n)} = \frac{y}{k \arcsin (n)} + \frac{- C}{k \arcsin (n)}$

Divide $x$ by $1$ .

$x = \frac{y}{k \arcsin (n)} + \frac{- C}{k \arcsin (n)}$

Simplify the right side.

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Move the negative in front of the fraction.

$x = \frac{y}{k \arcsin (n)} - \frac{C}{k \arcsin (n)}$