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.
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- What is a radian?
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A unit of angle measure based on the radius of a circle- How many radians are in a full circle?
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2 times pi- How many degrees are in pi radians?
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180 degrees- What is the unit circle?
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A circle with radius 1 centered at the origin, used to define trigonometric functions- What is sine defined as on the unit circle?
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The y-coordinate of the corresponding point- What is cosine defined as on the unit circle?
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The x-coordinate of the corresponding point- What is tangent defined as, in terms of sine and cosine?
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sin(theta) / cos(theta)- What is the period of the sine and cosine functions?
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2 times pi- What is the period of the tangent function?
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pi- What is the amplitude of a sine or cosine function?
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Half the distance between its maximum and minimum values- What does the amplitude of y = A sin(x) control?
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The height of the wave above and below the midline- What is the midline of a sinusoidal function?
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The horizontal line halfway between the maximum and minimum values- What is a phase shift in a trigonometric function?
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A horizontal shift of the graph- What is the general form of a sine function with transformations?
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y = A sin(B(x - C)) + D- What does 'B' control in y = A sin(Bx)?
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The period of the function (period = 2*pi/B)
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