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Graphs of sin, cos, tan
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Which trig functions (sin, cos, tan) have the same domain AND what is it?
sin and cos (-∞,∞)
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What is the period of y = tan x?
π
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Given y = a cos (bx + c) + d, how do you calculate amplitude?
|a|
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Find period. y= -cos(5/3 x-7π/2)-5
6π/5
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Which trig functions (sin, cos, tan) have the same range AND what is it?
sin and cos [-1,1]
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What is amplitude?
Half the distance from the bottom to the top of the graph.
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Given y = a sin (bx+c) + d, how do you calculate phase shift?
-c/b
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Name the first vertical asymptote to the right of the y-axis. y = tan (3x + π) - 1
π/6
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Find Phase shift. y= sin (5/3 x-7π/2)-5
21π/10
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y = 2 sin (5x - 3π) + 1 Find period.
2π/5
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What is the range of y = tan 5x?
(-∞, ∞)
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Find period. y= tan (5/3 x-7π/2)-5
3π/5
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What is phase shift?
The distance that the graph is out of phase with the parent function.
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Name the first x-intercept to the right of the y-axis. y = -tan (3x+π/10)
3π/10
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What is the period?
3π
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What is the period of y = cos x?
2π
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Find the value of d.
1
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What is the range of the parent sine function?
[-1, 1]
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What is period?
The horizontal distance for the graph to go through one cycle.
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What is the amplitude?
5
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Give y = a cos (bx+c) +d, how do you calculate period?
2π/b
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