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44 Cards in this Set
- Front
- Back
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Coterminal
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m(B)=m(α)+k360°
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1 degree
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1hour, 60 minutes, 3600 seconds
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360°
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2π radians
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30°
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π/6
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45°
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π/4
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60°
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π/3
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90°
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π/2
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120°
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2π/3
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135°
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3π/4
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150°
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5π/6
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180°
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π
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210°
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7π/6
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225°
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5π/4
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240°
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4π/3
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270°
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3π/2
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300°
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5π/3
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315°
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7π/4
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330°
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11π/6
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360°
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2π
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s=αr
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arc-length formula
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s
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arc length
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r
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radius
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A=αr²/2
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area of a sector of a circle
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angular velocity (formula)
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w=α/t
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angular velocity (symbol)
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w
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t
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time
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1 revolution
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2π radians
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Linear Velocity (symbol)
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v
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Linear Velocity (formula)
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v=s/t
s is the arc length determined by s=αr |
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Linear Velocity in terms of angular velocity
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v=rw
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sin α
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y/r
right angle def opp/hyp |
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cos α
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x/r
right angle def adj/hyp |
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tan α
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y/x
right angle def opp/adj |
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csc α
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r/y
right angle def hyp/opp |
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sec α
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r/x
right angle def hyp/adj |
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cot α
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x/y
right angle def adj/opp |
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r in relation to trig functions
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r=√x²+y²
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key stroke for csc
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1 / sin
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key stroke for sec
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1 / cos
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key stroke for cot
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1 / tan
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trig function r is also known as
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hypotenuse
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adjacent
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the side sharing the smallest angle to the hypotenuse
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opposite
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side with the larger of the two angles made with the hypotenuse
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Fundamental Identity of trig
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if α is an angle or a real number
sin²α+cos²α=1 |
