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Math121_UIC_final_exam_study
Precalculus study for final exam - equations and formulas
16
Mathematics
Undergraduate 1
04/21/2012
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Term
1 Radian is equal to...
 Definition
180degrees/π
Term
Unit circle of π/6
degrees?
(x,y)?
 Definition
30°
(√3/2,1/2)
Term
Unit circle of π/4
degrees?
(x,y)?
 Definition
45°
(√2/2,√2/2)
Term
Unit circle of π/3
degrees?
(x,y)?
 Definition
60°
(1/2,√3/2)
Term
Unit circle of π/2
degrees?
(x,y)?
 Definition
90°
(0,1)
Term
Arc length equation
 Definition
s=rƟ (where Ɵ is measured in radians)
Term
Area of a sector equation
 Definition
1/2r^2Ɵ
(where Ɵ is measured in radians)
Term
Linear speed equation
 Definition
v=s/t
linear speed (v)= linear displacement or distance/time
Term
Angular speed equation
 Definition
ω=Ɵ/t
angular speed (ω) = angular displacement or distance/time
Term
Revolutions per min strategy
(ex: bicycle traveling 20mph with 27in diameter wheel)
 Definition
Convert mph to inches/min
then divide by radius
last divide by 2π
Term
Sine:
 Definition
sin θ = y/r
Term
Cosine:
 Definition
cos θ = x/r
Term
Tangent:
 Definition
tan θ = y/x
Term
Cotangent:
 Definition
cot θ = x/y
Term
Secant:
 Definition
sec θ = 1/x
Term
Cosecant:
 Definition
csc θ = 1/y
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