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What is the domain and range of f(x) = sin x?
- Domain: All real numbers
- Range: [-1,1]
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The graph of sin t is the y-coordinate of the point P, therefore it must begin on...
the point (0,0)
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The graph of f(x) = sin x is periodic with a period of...
2pi
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What is the domain and range of f(x) = cos x?
- Domain: all real numbers
- Range: [-1,1]
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Which value does the amplitude account for in f(x) = a sin (bx + c) = d?
- The amplitude is equal to the absolute value of |a|
- same rules apply for cos
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The period of a sinusoid in form f(x) = a sin (bx + c) = d can be located using which equation?
- The period is equal to 2pi/|b|
- same rules apply for cos
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The frequency of a sinusoid in form f(x) = a sin (bx + c) = d can be located using which equation?
- The frequency is equal to |b|/2pi
- same rules apply for cos
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What is the domain and range of f(x) = tan x?
- Domain: cannot equal (pi/2 + npi)
- Range: All real numbers
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What is the domain and range of f(x) = cot x?
- Domain: cannot equal npi
- Range: All real numbers
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What are the periods of tan x and cot x?
The periods are pi
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In which quadrants will you find values for y = inverse sin x?
In quadrants 1 and 4
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What is the domain and range of y = inverse sin x?
- Domain: [-1, 1]
- Range: [-pi/2, pi/2]
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What is the inverse relationship of sin?
y = inverse sin x and x = sin y
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In which quadrants will you find values for y = inverse cos x?
In quadrants 1 and 2
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What is the domain and range of y = inverse cos x?
- Domain: [-1, 1]
- Range: [0, pi]
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What is the inverse relation of cos?
y = inverse cos x and x = cos y
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In which quadrants will you find values for y = inverse tan x?
In quadrants 1 and 4.
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What is the domain and range of y = inverse tan x?
- Domain: All real numbers
- Range: [-pi/2, pi/2]
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What is the inverse relation of tan?
y = inverse tan x and x = tan y
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