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39 Cards in this Set
- Front
- Back
What is 90º in radians
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π/2
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What is 60º in radians
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π/3
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What is 45º in radians
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π/4
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What is 30º in radians
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π/6
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What is 45º point on the circle
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√2/2, √2/2
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What is 60º point on the circle
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1/2, √3/2
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What is 90º point on the circle
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0,1
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What is 30º point on the circle
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√3/2, 1/2
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What is the tangent value for 0º
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0
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What is the tangent value for 30º
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√3/3
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What is the tangent value for 45º
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1
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What is the tangent value for 60º
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√3
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What is the tangent value for 90º
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undefined
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How many radians are in one full revolution of a circle?
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2π
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How many radians are in one half-revolution of a circle?
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π
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how many radians in a quarter revolution of a circle?
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.5π
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how many radians are in one degree
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(π/180)
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how many degrees are in one radian?
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(180/π)
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What are the radian boundaries of quadrant 1
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From 0 to (π/2)
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What are the radian boundaries of quadrant 2
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From (π/2) to π
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What are the radian boundaries of quadrant 3
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From π to (3π/2)
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What are the radian boundaries of quadrant 4
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From (3π/2) to 2π
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What are the degree boundaries of quadrant 1
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From 0º to 90º
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What are the degree boundaries of quadrant 2
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From 90º to 180º
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What are the degree boundaries of quadrant 3
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From 180º to 270º
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What are the degree boundaries of quadrant 4
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From 270º to 360º
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How do you find a positive and negative coterminal angle
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add and subtract 2π to the angle
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If the sum of 2 positive angles is (π/2), those angles are ___________
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Complimentary
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If the sum of 2 positive angles is π, those angles are ___________
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Supplementary
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What is the formula to find the arc length with an angle in degrees
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S=(º/360)(2πr)
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What is the formula to find the arc length with an angle in radians
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S=r*º*radians
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What is the formula for Linear Speed?
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v=(arc length (s)/time(t))
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What is the formula for angular speed?
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Angular Speed = (Central Angle/Time)
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What equation relates angular speed and linear speed?
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V=angular speed*time
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Name the two quotient identities
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tanº=(sinº/cosº)
cotº=(cosº/sinº) |
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is sin even or odd?
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odd
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is cos even or odd
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even
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is tan even or odd?
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odd
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name the Pythagorean Identities
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sin^2º+cos^2º=1
1+tan^2º=sec^2º 1+cot^2º=csc^2º |