Trigonometry Examples

$1 - {(\frac{8}{17})}^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to $\frac{8}{17}$ .

$1 - \frac{8^{2}}{17^{2}}$

Step 1.2

Raise $8$ to the power of $2$ .

$1 - \frac{64}{17^{2}}$

Step 1.3

Raise $17$ to the power of $2$ .

$1 - \frac{64}{289}$

Step 2

Simplify the expression.

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Step 2.1

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

$\frac{289}{289} - \frac{64}{289}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{289 - 64}{289}$

Step 2.3

Subtract $64$ from $289$ .

$\frac{225}{289}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{225}{289}$

Decimal Form:

$0.77854671 \dots$