Unit circle, sinusoidal functions, inverse trig, trig identities, and polar coordinates and graphs.
40 cards · basic cards · AI-written, checked twice. Edit anything.
- What is the unit circle?
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The circle x^2 + y^2 = 1 centered at the origin with radius 1- On the unit circle, what are the coordinates at angle 0?
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(1, 0)- On the unit circle, what are the coordinates at angle pi/2?
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(0, 1)- On the unit circle, what are the coordinates at angle pi?
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(-1, 0)- On the unit circle, what are the coordinates at angle 3pi/2?
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(0, -1)- On the unit circle, what are the coordinates at angle pi/4?
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(sqrt(2)/2, sqrt(2)/2)- On the unit circle, what are the coordinates at angle pi/3?
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(1/2, sqrt(3)/2)- On the unit circle, what are the coordinates at angle pi/6?
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(sqrt(3)/2, 1/2)- What is the general form of a sinusoidal function?
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y = A sin(B(x - C)) + D or y = A cos(B(x - C)) + D- In the form y = A sin(B(x - C)) + D, what does A represent?
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Amplitude, the maximum distance from the center line- In the form y = A sin(B(x - C)) + D, what is the period?
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2pi / B- In the form y = A sin(B(x - C)) + D, what does C represent?
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Phase shift, the horizontal shift of the function- In the form y = A sin(B(x - C)) + D, what does D represent?
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Vertical shift, the upward or downward shift of the function- What is the amplitude of y = 3 sin(x)?
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3- What is the period of y = sin(2x)?
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pi
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