Trigonometry Examples

$\arccos (x) = \arccos (\frac{7}{25} - \arcsin (\frac{24}{25}))$

Step 1

Simplify $\arccos (\frac{7}{25} - \arcsin (\frac{24}{25}))$ .

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Step 1.1

Simplify each term.

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Step 1.1.1

Evaluate $\arcsin (\frac{24}{25})$ .

$\arccos (x) = \arccos (\frac{7}{25} - 1 \cdot 1.28700221)$

Step 1.1.2

Multiply $- 1$ by $1.28700221$ .

$\arccos (x) = \arccos (\frac{7}{25} - 1.28700221)$

Step 1.2

To write $- 1.28700221$ as a fraction with a common denominator, multiply by $\frac{25}{25}$ .

$\arccos (x) = \arccos (\frac{7}{25} - 1.28700221 \cdot \frac{25}{25})$

Step 1.3

Combine fractions.

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Step 1.3.1

Combine $- 1.28700221$ and $\frac{25}{25}$ .

$\arccos (x) = \arccos (\frac{7}{25} + \frac{- 1.28700221 \cdot 25}{25})$

Step 1.3.2

Combine the numerators over the common denominator.

$\arccos (x) = \arccos (\frac{7 - 1.28700221 \cdot 25}{25})$

Step 1.4

Simplify the numerator.

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Step 1.4.1

Multiply $- 1.28700221$ by $25$ .

$\arccos (x) = \arccos (\frac{7 - 32.17505543}{25})$

Step 1.4.2

Subtract $32.17505543$ from $7$ .

$\arccos (x) = \arccos (\frac{- 25.17505543}{25})$

Step 1.5

Divide $- 25.17505543$ by $25$ .

$\arccos (x) = \arccos (- 1.00700221)$

Step 2

Graph each side of the equation. The solution is the x-value of the point of intersection.

No solution

Step 3