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Chapter 7 Trig notes

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Question
Answer
Law of Sines   show
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show Only Applies to Angle Side Side case -Possible no solution, 2 solutions, or 1 solution. -To determine: Solve triangle ABC, find < prime (<') of smallest angle. -Angle prime= supplement of <. -If <A + <B + <' is = to 180 then triangle has two solutions.  
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show Given 1 side: a^2=b^2+c^2-2bc(cosA) *b^2=a^2+c^2-2ac(cosB) *c^2=a^2+b^2-2ab(cosC)  
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show S=1/2bc(sinA) S=1/2ac(sinB) S=1/2ab(sinC)  
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Area of Triangle (AAS or ASA & Area=S)   show
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show S=√s(s-a)(s-b)(s-c) where s=a+b+c/2  
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Vector Addition & Subtraction   show
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show If, Vector U=< ux,uy> and C=scalar (any real #) then, C(U)=C< ux,uy> or < C(ux),C(uy)> -Simply Mult. the cords by the scalar  
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Magnitude of Vector   show
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show U•V=ux(uy)+uy(vy)  
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Cosine Theorem   show
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