Trigonometry Examples

$1 - {(\frac{5}{13})}^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $\frac{5}{13}$ .

$1 - \frac{5^{2}}{13^{2}}$

Step 1.2

Raise $5$ to the power of $2$ .

$1 - \frac{25}{13^{2}}$

Step 1.3

Raise $13$ to the power of $2$ .

$1 - \frac{25}{169}$

Step 2

Simplify the expression.

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Step 2.1

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

$\frac{169}{169} - \frac{25}{169}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{169 - 25}{169}$

Step 2.3

Subtract $25$ from $169$ .

$\frac{144}{169}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{144}{169}$

Decimal Form:

$0.85207100 \dots$