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53 Cards in this Set
- Front
- Back
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Radian
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The measure of a central angle θ that intercepts an arc s equal in length to the radius r of the circle.
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Acute angle
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An angle with a radian measure greater than 0 and less than π/2.
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Obtuse angle
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An angle with a radian measure greater than π/2 and less than π.
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Complementary angles
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Two positive angles whose sum is π/2.
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Supplementary angles
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Two positive angles whose sum is π.
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sin t
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y
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cos t
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x
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tan t
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y/x x ≠ 0
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csc t
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1/y y ≠ 0
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sec t
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1/x x ≠ 0
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cot t
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x/y y ≠ 0
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t = 0
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(x, y) = (1, 0)
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t = π/4
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(x, y) = (sqrt(2)/2, -sqrt(2)/2)
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t = π/2
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(x, y) = (0, -1)
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t = 3π/4
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(x, y) = (-sqrt(2)/2, -sqrt(2)/2)
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t = π
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(x, y) = (-1, 0)
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t = 5π/4
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(x, y) = (-sqrt(2)/2), sqrt(2)/2)
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t = 3π/2
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(x, y) = (0, 1)
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t = 7π/4
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(x, y) = (sqrt(2)/2, sqrt(2)/2)
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t = 2π
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(x, y) = (1, 0)
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sin (-t)
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-sin (t)
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cos (-t)
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cos (t)
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tan (-t)
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-tan (t)
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csc (-t)
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-csc (t)
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sec (-t)
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sec (t)
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cot (-t)
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-cot (t)
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sin θ
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opp/hyp
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cos θ
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adj/hyp
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tan θ
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opp/adj
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csc θ
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hyp/opp
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sec θ
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hyp/adj
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cot θ
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adj/opp
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sin (30°) = sin (π/6)
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1/2
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sin (45°) = sin (π/4)
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sqrt (2)/2
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sin (60°) = sin (π/3)
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sqrt (3)/2
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cos (30°) = cos (π/6)
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sqrt (3)/2
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cos (45°) = cos (π/4)
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sqrt (2)/2
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cos (60°) = cos (π/3)
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1/2
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tan (30°) = tan (π/6)
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sqrt (3)/3
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tan (45°) = tan (π/4)
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1
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tan (60°) = tan (π/3)
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sqrt (3)
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1/csc θ
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sin θ
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1/sec θ
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cos θ
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1/cot θ
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tan θ
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1/sin θ
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csc θ
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1/cos θ
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sec θ
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1/tan θ
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cot θ
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sin θ/cos θ
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tan θ
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cos θ/sin θ
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cot θ
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sin^2 θ + cos^2 θ
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1
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1 + tan^2 θ
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sec^2 θ
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1 + cot^2 θ
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csc^2 θ
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Reference angle
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The acute angle θ' formed by the terminal side of an angle θ in standard position and the horizontal axis.
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