Trigonometry Examples

1 - {(\frac{15}{17})}^{2}

$1 - {(\frac{15}{17})}^{2}$

Step 1

Simplify each term.

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Step 1.1

Apply the product rule to

\frac{15}{17}

$\frac{15}{17}$ .

1 - \frac{15^{2}}{17^{2}}

$1 - \frac{15^{2}}{17^{2}}$

Step 1.2

Raise

15

$15$ to the power of

2

$2$ .

1 - \frac{225}{17^{2}}

$1 - \frac{225}{17^{2}}$

Step 1.3

Raise

17

$17$ to the power of

2

$2$ .

1 - \frac{225}{289}

$1 - \frac{225}{289}$

1 - \frac{225}{289}

$1 - \frac{225}{289}$

Step 2

Simplify the expression.

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Step 2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{289}{289} - \frac{225}{289}

$\frac{289}{289} - \frac{225}{289}$

Step 2.2

Combine the numerators over the common denominator.

\frac{289 - 225}{289}

$\frac{289 - 225}{289}$

Step 2.3

Subtract

225

$225$ from

289

$289$ .

\frac{64}{289}

$\frac{64}{289}$

\frac{64}{289}

$\frac{64}{289}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{64}{289}

$\frac{64}{289}$

Decimal Form:

0.22145328 \dots

$0.22145328 \dots$