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Area of a Sector: Radian Form |
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Area of a Sector: Degree Form |
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Area of a Segment= Area of a Sector - 1/2(a)(b)(sinC) |
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Things to keep in mind when checking the # of solutions |
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*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 |
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How to check for # of Solutions |
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a=bsinA - 1 Solution
absinA - 2 Solutions |
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a²=b²+c²-(2)(b)(c)(cosA) b²=a²+c²-(2)(a)(c)(cosB) c²=b²+a²-(2)(b)(a)(cosC) |
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Law of Cosines: Keep in Mind |
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*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 |
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Circumference of a Circle |
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When asked for linear velocity |
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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 |
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Sine= Opposite/Hypotenuse Cosine= Adjacent/Hypotenuse Tangent= Opposite/Adjacent |
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