Explore the fundamentals of geometry, focusing on triangles and circles, their properties, and their role in trigonometry. Understand angles in standard position, quadrants of the Cartesian plane, reference angles, and the unit circle. Learn how these concepts are crucial for defining trigonometric functions and their graphs, which are pivotal in mathematics.
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1
Triangle Definition
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2
Trigonometry Focus
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3
Circle Characteristics
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4
Two rays sharing a ______ create an angle, and the amount of ______ between them defines the angle's size.
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5
Quadrant I coordinates
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6
Quadrant III characteristics
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7
Signs of trig functions by quadrant
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8
In trigonometry, ______ angles help calculate trigonometric functions for any angle by associating it with an acute angle with the same ______ values.
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9
Unit Circle Definition
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10
Unit Circle Coordinates
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11
Pythagorean Identity on Unit Circle
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12
The ______ ______ helps visualize trigonometric functions, with quadrants each representing ______ degrees or ______ radians.
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13
Special angles in trigonometry
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14
Unit circle significance
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15
Trigonometric functions for special angles
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16
The sine and cosine functions oscillate within a range of ______ to ______, achieving their peak, trough, or neutral points at certain intervals.
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Three-Dimensional Shapes and Their Properties
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