Trigonometry Examples

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

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

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)

$\tan (0)$ is

0

$0$ .

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

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

Step 1.1.2

Multiply

0

$0$ by

tan (21.3)

$\tan (21.3)$ .

24 (1 - \frac{arccos (0)}{π})

$24 (1 - \frac{\arccos (0)}{π})$

Step 1.1.3

The exact value of

arccos (0)

$\arccos (0)$ is

\frac{π}{2}

$\frac{π}{2}$ .

24 (1 - \frac{\frac{π}{2}}{π})

$24 (1 - \frac{\frac{π}{2}}{π})$

24 (1 - \frac{\frac{π}{2}}{π})

$24 (1 - \frac{\frac{π}{2}}{π})$

Step 1.2

Multiply the numerator by the reciprocal of the denominator.

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

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

Step 1.3

Cancel the common factor of

π

$π$ .

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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.

$12$