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1.2-1.3 The Distance Formula and Angles in the Coordinate

# 1.2-1.3 The Distance Formula and Angles in the Coordinate -...

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The Distance Formula & The Distance Formula & Angles in the Coordinate Angles in the Coordinate Plane Plane Sections 1.2 and 1.3 Sections 1.2 and 1.3

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The Distance Formula The Distance Formula The distance formula is based on the Pythagorean Theorem. 2 1 ( , ) D x y 2 2 2 a b c + = 1 1 ( , ) F x y 2 2 ( , ) E x y e d f 2 2 2 1 2 1 ( ) ( ) d x x y y = - + -
Angles Angles An angle is formed by rotating a ray about its vertex from one position, called the initial side of the angle, to another, called the terminal side . terminal side initial side

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When the vertex of an angle is the origin of the coordinate plane and its initial side

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Unformatted text preview: coincides with the positive x-axis, the angel is said to be in standard position . • If an angle is formed by a counterclockwise rotation, its measure is positive. • If an angle is formed by a clockwise rotation, its measure is negative. 210 ° 150 °-• One full counterclockwise rotation measures . • One full clockwise rotation measures . 360 ° 360 ° Joke Time Joke Time • What trigonometry do farmers do? • Swine and coswine • What do mathematicians sleep on? • Ma-trices...
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1.2-1.3 The Distance Formula and Angles in the Coordinate -...

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