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What is the equation for a graph of a trig function?
y= K+A[function](Bx+C)
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What does K do?
Vertical shift
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What does A do?
Phase (horizontal) shift, negative numbers flip the graph
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What is the equation for the period of Sine/Cosecant and Cosine/Secant?
2π/B
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What is the equation for the phase shift of Sine/Cosecant, Cosine/Secant, and Tangent/Cotangent?
-C/B
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What is the equation for the period of Tangent/Cotangent?
π/B
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In what quadrants is the sin^-1(x) in?
1 and 4
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In what quadrants is the cos^-1(x) in?
1 and 2
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In what quadrants is the tan^-1(x) in?
1 and 4
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What is the range and domain of sin^-1(x)
- Domain: (-1, 1)
- Range: (-π/2, π/2)
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What is the range and domain of cos^-1(x)?
- Domain: (-1, 1)
- Range: (0, π)
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What is the range and domain of tan^-1(x)?
- Domain: (-∞, ∞)
- Range: (-π/2, π/2)
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a^3 + b^3=
(a + b) (a^2 - ab +b^2)
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a^3 - b^3
(a - b) (a^2 + ab +b^2)
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Radian to Degrees
multiply by 180º/π
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Degrees to Raidans
multiply by π/180º
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In the formula for sine and cosine graphs, K means
vertical shift
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In the formula for sine and cosine graphs, A means
amplitude, negative amplitude moves the graph down and flips the graph on the x-axis
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In the formula for sine and cosine graphs, B is used
to find the Period (2π/B) and Phase Shift (-C/B)
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In the formula for sine and cosine graphs, C is used
to find the Phase Shift (-C/B)
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In a tangent graph formula, what is B used for?
to find the period (π/B) and the phase shift (-C/B)
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What trig functions are only positive in the first quadrant?
All trig functions
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What trig functions are only positive in the second quadrant?
Sine and Cosecant
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What trig functions are only positive in the third quadrant?
Tangent and Cotangent
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What trig functions are only positive in the fourth quadrant?
Cosine and Secant
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