Trigonometry Examples

$24 (1 - \frac{\arccos (\tan (0) \tan (21.3))}{π})$

Step 1

Simplify each term.

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Step 1.1

Simplify the numerator.

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Step 1.1.1

The exact value of $\tan (0)$ is $0$ .

$24 (1 - \frac{\arccos (0 \tan (21.3))}{π})$

Step 1.1.2

Multiply $0$ by $\tan (21.3)$ .

$24 (1 - \frac{\arccos (0)}{π})$

Step 1.1.3

The exact value of $\arccos (0)$ is $\frac{π}{2}$ .

$24 (1 - \frac{\frac{π}{2}}{π})$

Step 1.2

Multiply the numerator by the reciprocal of the denominator.

$24 (1 - (\frac{π}{2} \cdot \frac{1}{π}))$

Step 1.3

Cancel the common factor of $π$ .

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Step 1.3.1

Cancel the common factor.

$24 (1 - (\frac{π}{2} \cdot \frac{1}{π}))$

Step 1.3.2

Rewrite the expression.

$24 (1 - \frac{1}{2})$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$24 (\frac{2}{2} - \frac{1}{2})$

Step 2.2

Simplify the expression.

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Step 2.2.1

Combine the numerators over the common denominator.

$24 \frac{2 - 1}{2}$

Step 2.2.2

Subtract $1$ from $2$ .

$24 (\frac{1}{2})$

Step 2.3

Cancel the common factor of $2$ .

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Step 2.3.1

Factor $2$ out of $24$ .

$2 (12) \frac{1}{2}$

Step 2.3.2

Cancel the common factor.

$2 \cdot 12 \frac{1}{2}$

Step 2.3.3

Rewrite the expression.

$12$