Precalculus Examples

$- 0.33 = \arccos (s) (1.46)$

Step 1

Simplify the right side.

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Step 1.1

Move $1.46$ to the left of $\arccos (s)$ .

$- 0.33 = 1.46 \arccos (s)$

Step 2

Rewrite the equation as $1.46 \arccos (s) = - 0.33$ .

$1.46 \arccos (s) = - 0.33$

Step 3

Divide each term in $1.46 \arccos (s) = - 0.33$ by $1.46$ and simplify.

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Step 3.1

Divide each term in $1.46 \arccos (s) = - 0.33$ by $1.46$ .

$\frac{1.46 \arccos (s)}{1.46} = \frac{- 0.33}{1.46}$

Step 3.2

Simplify the left side.

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Step 3.2.1

Cancel the common factor of $1.46$ .

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Step 3.2.1.1

Cancel the common factor.

$\frac{1.46 \arccos (s)}{1.46} = \frac{- 0.33}{1.46}$

Step 3.2.1.2

Divide $\arccos (s)$ by $1$ .

$\arccos (s) = \frac{- 0.33}{1.46}$

Step 3.3

Simplify the right side.

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Step 3.3.1

Divide $- 0.33$ by $1.46$ .

$\arccos (s) = - 0.22602739$

Step 4

Take the inverse arccosine of both sides of the equation to extract $s$ from inside the arccosine.

$s = \cos (- 0.22602739)$

Step 5

Exclude the solutions that do not make $- 0.33 = \arccos (s) (1.46)$ true.

$No solution$