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"Law of Sines & Cosines - SAA, ASA, SSA, SSS One, Two, or No Solution Solving Oblique Triangles"

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Law of Sines & Cosines - SAA, ASA, SSA, SSS   One, Two, or No Solution   Solving Oblique Triangles

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a/sinA = b/sinB = c/sinC

sinA/a = sinB/b = sinC/c

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a^2 = b^2+c^2-((2)(b)(c)(cosA))

b^2=a^2+c^2-((2)(a)(c)(cosB))

c^2=a^2+b^2-((2)(a)(b)(cosC))

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Example 2: Using Law of Cosines and Law of Sines 

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Example 2: Using Law of Cosines and Law of Sines 

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A= 22.182 degrees   a= 5
B= 42.818 degrees   b= 9
C= 115 degrees      c= 12.001

Finding side c:
c^2= 5^2+9^2-((2)(5)(9)(cos115))
*Plug into calculator and take square root*
c= 12.001

Finding angle B:
sin115/12.001 = sinB/9
sinB= .6796742008
sin^-1 (of prev. answer)= 42.818 degrees

Finding angle A:
115+42.818= 157.818
180-157.818= 22.182 degrees

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A= 72 degrees        a= 8 cm
B= 62.497 degrees b= 7.461 cm
C= 45.503 degrees    c= 6 cm

Finding angle C:
sin72/8 = sinC/6
6sin72 = 8sinC
sinC= .7132923872
sin^-1 (of prev. answer)= 45.503 degrees

Finding angle B:
72+45.503 = 117.503 degrees
180-117.503 = 62.497 degrees

Finding side b:
sin72/8 = sin62.497/b
bsin72 = 8sin62.497
b= 7.461 cm