Term
Identify sine on the unit circle.
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Definition
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The sine is the ratio of the length opposite angle θ divided by the hypotenuse. For the unit circle this corresponds to y/1 = y. |
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Term
Identify cosine on the unit circle.
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Definition
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The cosine is the ratio of the length adjacent angle θ divided by the hypotenuse. For the unit circle this corresponds to x/1 = x. |
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Term
Identify tangent on the unit circle.
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Definition
x
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= |
sin(θ)
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= |
opposite
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| y |
cos(θ) |
adjacent |
The tangent is the ratio of the lengths opposite and adjacent to angle θ. For the unit circle this corresponds to y/x. |
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Term
Identify cotangent on the unit circle.
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Definition
y
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= |
cos(θ)
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= |
1
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= |
adj.
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| x |
sin(θ) |
tan(θ) |
opp. |
The cotangent is the ratio of the lengths adjacent to and opposite angle θ, or 1/tan. For the unit circle this corresponds to x/y. |
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Term
Identify secant on the unit circle.
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Definition
1
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= |
1
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= |
hypotenuse
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| x |
cos(θ) |
adjacent |
The secant is the hypotenuse length divided by the length adjacent the angle θ, or 1/cos. For the unit circle this corresponds to 1/x. |
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Term
Identify cosecant on the unit circle.
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Definition
1
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= |
1
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= |
hypotenuse
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| y |
sin(θ) |
opposite |
The cosecant is the hypotenuse length divided by the length adjacent the angle θ, or 1/sin. For the unit circle this corresponds to 1/y. |
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