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


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