$\"\"$

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Observe the big triangle : adjacent side = 6 and opposite side = 3.

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Find hypotenuse by using pythagorean theorem.

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Pythagoreantheorem : $\"\"$ .

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Substitute adjacent side = 6 and opposite side = 3.

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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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$\"\"$

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hypotenuse = $\"\"$ . $\"\"$

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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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The given two triangles are similar, and corresponding sides are proportional.

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So, they have the same function values.

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$\"\"$

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