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Trigonometric Foundations flashcards
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- What is radian measure?Radians and Circular Measurement
- An angle measured by arc length divided by radius.
- What condition or caution matters when using radian measure?Radians and Circular Measurement
- A full turn is 2π radians, not π radians.
- What is arc length and sector area?Radians and Circular Measurement
- The distance along a circular arc cut off by a central angle.
- What condition or caution matters when using arc length and sector area?Radians and Circular Measurement
- The shortcut s=rθ requires θ in radians.
- What is coterminal and reference angles?Unit Circle and Reference Angles
- Angles differing by complete turns and sharing a terminal ray.
- What condition or caution matters when using coterminal and reference angles?Unit Circle and Reference Angles
- Coterminal angles are not necessarily equal as numerical measures.
- What is coordinates and trigonometric values?Unit Circle and Reference Angles
- The point (cos θ,sin θ) on a circle of radius one.
- What condition or caution matters when using coordinates and trigonometric values?Unit Circle and Reference Angles
- Cosine is the x-coordinate; sine is the y-coordinate.
- What is ratios and similarity?Right-Triangle Trigonometry
- A comparison of side lengths determined by an acute angle.
- What condition or caution matters when using ratios and similarity?Right-Triangle Trigonometry
- Opposite and adjacent labels change when the chosen acute angle changes.
- What is reference angles across quadrants?Right-Triangle Trigonometry
- The nonnegative angle from a terminal ray to the x-axis.
- What condition or caution matters when using reference angles across quadrants?Right-Triangle Trigonometry
- The reference angle does not carry the quadrant sign by itself.