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46 Cards in this Set
- Front
- Back
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Find coterminal angle in degrees.
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if angle is positive
angle - 360 = answer angle + 360 = answer if angle is negative 360 - angle = answer -360 - angle = answer |
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Convert degrees to radian
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Angle x (π/180)
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Convert radian to degrees
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Radian x (180/π)
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Find coterminal angle in radians.
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if radian is positive
radian - 2π = answer radian + 2π = answer is radian is negative 2π - radian = answer -2π - radian = answer |
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Unit Circle:
sinθ = |
y
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Unit Circle:
cosθ = |
x
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Unit Circle:
tanθ = |
y/x
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Unit Circle:
cscθ = |
1/y
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Unit Circle:
secθ = |
1/x
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Unit Circle:
cotθ = |
x/y
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Which trigonometric functions are even?
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cosine and secant
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Which trigonometric functions are odd?
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sine, cosecant, tangent, and cotangent
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Right Triangle:
sinθ = |
opp/hyp
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Right Triangle
cosθ = |
adj/hyp
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Right Triangle:
tanθ = |
opp/adj
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Right Triangle:
cscθ = |
hyp/opp
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Right Triangle:
secθ = |
hyp/adj
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r:
sinθ = |
y/r
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r:
cosθ = |
x/r
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r:
tanθ = |
y/x
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r:
cscθ = |
r/y
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r:
secθ = |
r/x
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r:
cotθ = |
x/y
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r:
r = |
√(x^2 + y^2)
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Reference Angle:
if 90° < angle < 180° |
180° - Angle
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Reference Angle:
if 180° < angle < 270° |
Angle - 180°
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Reference Angle:
if 270° < angle < 360° |
360 - Angle
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Reference Angle
if π/2 < angle < π |
π - Angle
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Reference Angle:
if π < angle < 3π/2 |
Angle - π
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Reference Angle:
if 3π/2 < angle < 2π |
2π - Angle
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What indicates the amplitude of the following equation?
y = a sin(bx - c) + d |
absolute value of a
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What indicates the amplitude of the following equation?
y = a cos(bx - c) + d |
absolute value of a
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What indicates the period of the following equation?
y = a sin(bx - c) + d |
2π/absolute value of b
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What indicates the period of the following equation?
y = a cos(bx - c) + d |
2π/absolute value of b
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What indicates the horizontal shift of the following equation?
y = a sin(bx - c) + d |
c
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What indicates the horizontal shift of the following equation?
y = a cos (bx - c) + d |
c
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What indicates the line of oscillation of the following equation?
y = a sin (bx - c) + d |
d
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What indicates the line of oscillation of the following equation?
y = a cos (bx - c) + d |
d
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What indicates the period in the following equation?
y = a tan(bx - c) + d |
π/b
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What indicates the asymptote in the following equation?
y = a tan(bx - c) + d |
bx - c = π/2
bx - c = -π/2 |
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What indicates the period of the following equation?
y = a cot (bx - c) + d |
π/2
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What indicates the asymptotes of the following equation?
y = a cot (bx - c) + d |
bx - c = π
bx - c = -π x = 0 |
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Rewrite as inverse
x = sin y |
y = arcsin x
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Rewrite as inverse
x = cos y |
y = arccos x
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Rewrite as inverse
x = tan y |
y = arctan x
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Right Triangle:
cot = |
adj/opp
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