Precalculus, Unit 4: Trigonometric Functions. Key terms, formulas, and worked-example cues a high school student meets for this unit, building on prior units. Front: the term, formula name, or short problem cue. Back: the definition, formula, or solution method.
30 cards · basic cards · AI-written, checked twice. Edit anything.
- What is a radian?
- A unit of angle measure based on the radius of a circle
- How many radians are in a full circle?
- 2 times pi
- How many degrees are in pi radians?
- 180 degrees
- What is the unit circle?
- A circle with radius 1 centered at the origin, used to define trigonometric functions
- What is sine defined as on the unit circle?
- The y-coordinate of the corresponding point
- What is cosine defined as on the unit circle?
- The x-coordinate of the corresponding point
- What is tangent defined as, in terms of sine and cosine?
- sin(theta) / cos(theta)
- What is the period of the sine and cosine functions?
- 2 times pi
- What is the period of the tangent function?
- pi
- What is the amplitude of a sine or cosine function?
- Half the distance between its maximum and minimum values
- What does the amplitude of y = A sin(x) control?
- The height of the wave above and below the midline
- What is the midline of a sinusoidal function?
- The horizontal line halfway between the maximum and minimum values
- What is a phase shift in a trigonometric function?
- A horizontal shift of the graph
- What is the general form of a sine function with transformations?
- y = A sin(B(x - C)) + D
- What does 'B' control in y = A sin(Bx)?
- The period of the function (period = 2*pi/B)
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