Trigonometric Functions flashcards

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In Angles, Radians, and Arc Length, what does degree-radian conversion mean?Angles, Radians, and Arc Length: Two angular units for the same rotation.
Is 180° equal to π radians?Angles, Radians, and Arc Length: Yes.
In Angles, Radians, and Arc Length, what does coterminal angles mean?Angles, Radians, and Arc Length: Angles sharing the same terminal ray.
How are positive coterminal angles formed?Angles, Radians, and Arc Length: Add 2π repeatedly to a radian angle.
In Angles, Radians, and Arc Length, what does arc length mean?Angles, Radians, and Arc Length: The distance along a circular arc.
What unit must θ use in s=rθ?Angles, Radians, and Arc Length: Radians, not degrees.
In Unit Circle and Trigonometric Ratios, what does unit circle coordinates mean?Unit Circle and Trigonometric Ratios: Coordinate definitions of sine and cosine.
Why can tangent be undefined?Unit Circle and Trigonometric Ratios: Cosine can equal zero in its denominator.
In Unit Circle and Trigonometric Ratios, what does reference angles and signs mean?Unit Circle and Trigonometric Ratios: A method for evaluating quadrant angles.
What sign does cosine have in quadrant II?Unit Circle and Trigonometric Ratios: Negative, because x-coordinates there are negative.
In Unit Circle and Trigonometric Ratios, what does right-triangle ratios mean?Unit Circle and Trigonometric Ratios: Ratios connecting a right triangle to its angle.
Does the hypotenuse depend on which acute angle you choose?Unit Circle and Trigonometric Ratios: No, it stays opposite the right angle.
In Graphs of Sine and Cosine, what does amplitude and midline mean?Graphs of Sine and Cosine: Vertical scale and center line of a wave.
Is peak-to-peak height equal to amplitude?Graphs of Sine and Cosine: No, it is twice amplitude.
In Graphs of Sine and Cosine, what does period mean?Graphs of Sine and Cosine: The horizontal length of one full repeat.
Does multiplying output by A change period?Graphs of Sine and Cosine: No, it changes vertical scale only.
In Graphs of Sine and Cosine, what does phase and vertical shifts mean?Graphs of Sine and Cosine: Translations of a periodic function.
Why factor B before reading C?Graphs of Sine and Cosine: An unfactored inside constant is not directly the shift amount.
In Trigonometric Identities and Equations, what does pythagorean identity mean?Trigonometric Identities and Equations: A relation between sine and cosine squares.
Why check a denominator in a derived identity?Trigonometric Identities and Equations: Division by zero would be invalid.
In Trigonometric Identities and Equations, what does reciprocal and quotient rules mean?Trigonometric Identities and Equations: Basic quotient and reciprocal identities.
When is secθ undefined?Trigonometric Identities and Equations: When cosθ=0.
In Trigonometric Identities and Equations, what does solutions on an interval mean?Trigonometric Identities and Equations: Enumerating trig equation roots within bounds.
Why state an interval?Trigonometric Identities and Equations: Without one, periodic equations have infinitely many shifted solutions.
In Periodic Modeling, what does period and units mean?Periodic Modeling: A repeating function with measured input units.
Why report a period unit?Periodic Modeling: A number alone cannot tell whether a cycle is hours or days.
In Periodic Modeling, what does parameters in context mean?Periodic Modeling: Interpreting wave parameters in a real setting.
Can one observation identify every wave parameter?Periodic Modeling: No, many periodic curves pass through one point.
In Periodic Modeling, what does model limits mean?Periodic Modeling: Testing periodic predictions against evidence.
Why compare residuals?Periodic Modeling: Systematic misses can reveal an inadequate model.