Ch 14 Trigonometry!!. Ch 14 Trigonometry!! 14.1 The unit circle Circumference Arc length Central angle In Geometry, our definition of an angle was the.

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Ch 14 Trigonometry!!

Ch 14 Trigonometry!! 14.1 The unit circle Circumference Arc length Central angle In Geometry, our definition of an angle was the union of two rays with a common endpoint.

Angle (trig) - measure of rotation from initial ray to terminal ray initial ray - the positive x-axis with endpoint at origin terminal ray – ray with endpoint at origin standard position – initial ray is the x-axis so we only need to show the terminal ray and the rotation. Counterclockwise rotation is “+”. Clockwise rotation is “-”. Coterminal angles are angles in standard position with the same terminal ray. Unit circle: A circle with center at the origin and a radius of 1.

-Draw the unit circle -Draw the following angles (degrees) in standard position. a) 45°b) 135° c) -45°d) -225°

1) Find the length of the arc on the unit circle formed by a 135 degree angle.

2) The terminal side of an angle contains the point (5, -5). Find the measure of the angle.

3) Find the point of intersection of the unit circle and the angle whose terminal side contains the point (-7, -24).

4) The line intersects the unit circle in the second quadrant. Find the point of intersection.