Precalculus Examples

$y = \sec (\frac{x}{4})$

Step 1

Rewrite the equation as $\sec (\frac{x}{4}) = y$ .

$\sec (\frac{x}{4}) = y$

Step 2

Take the inverse secant of both sides of the equation to extract $x$ from inside the secant.

$\frac{x}{4} = arcsec (y)$

Step 3

Multiply both sides of the equation by $4$ .

$4 \frac{x}{4} = 4 arcsec (y)$

Step 4

Simplify the left side.

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Step 4.1

Cancel the common factor of $4$ .

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Step 4.1.1

Cancel the common factor.

$4 \frac{x}{4} = 4 arcsec (y)$

Step 4.1.2

Rewrite the expression.

$x = 4 arcsec (y)$