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Trig 5.1-5.8
N/A
15
Mathematics
12th Grade
01/12/2013

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Cards

Term
Arc Length: Radian Form
Definition
s=rθ
Term
Area of a Sector: Radian Form
Definition
A=1/2(r²)θ
Term
Arc Length: Degree Form
Definition
s=2π(r)(degree/360)
Term
Area of a Sector: Degree Form
Definition
A=π(r²)(degree/360)
Term
Area of a Segment
Definition
Area of a Segment= Area of a Sector - 1/2(a)(b)(sinC)
Term
Area of a Triangle
Definition
1/2(a)(b)(sinC)
Term
Things to keep in mind when checking the # of solutions
Definition
*only check when you are given 2 sides & 1 angle. The angle and 1 of the sides will have the same letter.
*if a > (b), there is only one triangle
Term
How to check for # of Solutions
Definition
a=bsinA - 1 Solution absinA - 2 Solutions
Term
Law of Cosines
Definition
a²=b²+c²-(2)(b)(c)(cosA)
b²=a²+c²-(2)(a)(c)(cosB)
c²=b²+a²-(2)(b)(a)(cosC)
Term
Law of Cosines: Keep in Mind
Definition
*The cosine and the letter the equation equals (for example in: a²=b²+c²-(2)(b)(c)(cosA), the cosA and a²) match up.
*Solve for the BIGGEST (colossal) angle/side
Term
Law of Sines
Definition
a/sinA = b/sinB = c/sinC
Term
Circumference of a Circle
Definition
2πr
Term
Area of a Circle
Definition
πr²
Term
When asked for linear velocity
Definition
Put one thing over the other (ex. miles/hour), multiply and cancel out until you get the units you want (ex. revs/min)
*remember there are 5280 ft in a mile
*2π radians per revolution
Term
SOH CAH TOA
Definition
Sine= Opposite/Hypotenuse
Cosine= Adjacent/Hypotenuse
Tangent= Opposite/Adjacent
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