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Trigonometric Functions and Models flashcards
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- What is amplitude and range?Sine and Cosine Graphs
- The maximum distance of a sinusoidal output from its midline.
- What condition or caution matters when using amplitude and range?Sine and Cosine Graphs
- Amplitude is half the maximum-minus-minimum difference.
- What is period and frequency factor?Sine and Cosine Graphs
- The smallest positive input shift that repeats a periodic function.
- What condition or caution matters when using period and frequency factor?Sine and Cosine Graphs
- Use the absolute value of B when calculating a positive period.
- What is phase shift in factored form?Transformations and Periodic Models
- The horizontal displacement of a periodic reference graph.
- What condition or caution matters when using phase shift in factored form?Transformations and Periodic Models
- Factor the argument before identifying the shift.
- What is choosing a midline and model?Transformations and Periodic Models
- A sinusoidal baseline obtained by averaging maximum and minimum.
- What condition or caution matters when using choosing a midline and model?Transformations and Periodic Models
- Matching a few points does not prove a model remains valid forever.
- What is tangent period and asymptotes?Tangent and Reciprocal Graphs
- A π-periodic ratio sin x/cos x with vertical asymptotes.
- What condition or caution matters when using tangent period and asymptotes?Tangent and Reciprocal Graphs
- Tangent has no amplitude because its range is unbounded.
- What is secant and cosecant?Tangent and Reciprocal Graphs
- The reciprocal functions 1/cos x and 1/sin x.
- What condition or caution matters when using secant and cosecant?Tangent and Reciprocal Graphs
- A reciprocal trig function is different from an inverse trig function.
- What is principal arcsine and arccosine?Inverse Trigonometric Functions
- Angle-returning inverse functions defined using restricted sine and cosine domains.
- What condition or caution matters when using principal arcsine and arccosine?Inverse Trigonometric Functions
- Principal inverse values do not enumerate every equation solution.
- What is arctangent and compositions?Inverse Trigonometric Functions
- The principal angle with a specified tangent value.
- What condition or caution matters when using arctangent and compositions?Inverse Trigonometric Functions
- arctan(tan θ) returns θ only within the principal tangent interval.