$\"\"$

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From the diagram : hypotenuse = 13 and opposite side = 5.

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Pythagorean theorem : $\"\"$ .

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Substitute the values hypotenuse = 13 and opposite side = 5.

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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Take square root each side.

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$\"\"$

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Adjacent side = 12.

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$\"\"$

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$\"\"$ ,

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$\"\"$ ,

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$\"\"$ ,

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$\"\"$ ,

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$\"\"$ , and

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$\"\"$ .

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$\"\"$

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The values of the trigonometric functions are $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , $\"\"$ , and $\"\"$ .