Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Solve the triangle using the Law of sines or the Law of cosines given the following:?

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    6^2 = 3^2 + 5^2 - 2 * 3 * 5 * cos(C)

    36 = 9 + 25 - 30 * cos(C)

    30 * cos(C) = 34 - 36

    30 * cos(C) = -2

    cos(C) = -2/30

    cos(C) = -1/15

    C = arccos(-1/15)

    3^2 = 5^2 + 6^2 - 2 * 5 * 6 * cos(A)

    9 = 25 + 36 - 60 * cos(A)

    60 * cos(A) = 61 - 9

    60 * cos(A) = 52

    15 * cos(A) = 13

    cos(A) = 13/15

    A = arccos(13/15)

    That's as exact as either can get.

  • alex
    Lv 7
    1 month ago

     Law of sines 

    a/sinA = b/sinB=c/sinC

    Law of cosines 

    a^2 = b^2 + c^2 - 2bc cosA

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