$\"\"$

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(a)

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Let $\"\"$ be a point in the first quadrant.

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Graph the line through point $\"\"$ and the origin.

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Label the length of the hypotenuse as $\"\"$ .

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The line makes an angle with $\"\"$ -axis be $\"\"$ .

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Draw a right angle triangle by connecting the points $\"\"$ , $\"\"$ , and the origin.

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$\"\"$

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$\"\"$

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(b)

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Length of opposite side to the angle $\"\"$ is $\"\"$ .

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Length of adjacent side to the angle $\"\"$ is $\"\"$ .

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Length of the hypotenuse is $\"\"$ .

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Pythagorean Theorem : $\"\"$ .

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$\"\"$

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$\"\"$

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The value of $\"\"$ in terms $\"\"$ and $\"\"$ is $\"\"$ .

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$\"\"$

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(c)

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Trigonometric function : $\"\"$ .

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$\"\"$

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Trigonometric function : $\"\"$ .

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$\"\"$

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Trigonometric function : $\"\"$ .

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$\"\"$ .

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$\"\"$

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(d)

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Let $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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The point $\"\"$ can be represented as $\"\"$ where $\"\"$ .

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$\"\"$

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(e)

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Find slope of the line for the points $\"\"$ and $\"\"$ .

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Slope of the line is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ corresponds to the slope of the line.

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$\"\"$

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(f)

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Find slope of the line perpendicular to the line in part (a).

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The slope of the line perpendicular to a line with slope $\"\"$ is $\"\"$ .

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The slope of the line perpendicular to slope $\"\"$ is $\"\"$ .

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Trigonometric function : $\"\"$ .

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$\"\"$

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$\"\"$

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Slope of the line perpendicular to the line in part (a) in terms of $\"\"$ is $\"\"$ .

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$\"\"$

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.(a)

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$\"\"$

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(b)

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The value of $\"\"$ in terms $\"\"$ and $\"\"$ is $\"\"$ .

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(c)

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$\"\"$

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$\"\"$

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$\"\"$ .

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(d)

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Write the point $\"\"$ as $\"\"$ Where $\"\"$ .

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(e)

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Trigonometric ratio $\"\"$ is corresponds to the slope of the line.

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(f)

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Slope of the line perpendicular to the line in part (a) in terms of $\"\"$ is $\"\"$ .