SOLUTION: The sines of the angles of a triangle are in ratio 4:5:6. Find the ratio of their cosines

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Question 754137: The sines of the angles of a triangle are in ratio 4:5:6. Find the ratio of their cosines
Answer by Alan3354(69443) About Me  (Show Source):
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The sines of the angles of a triangle are in ratio 4:5:6. Find the ratio of their cosines
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From the Sine Law, the ratio of the sides is also 4:5:6
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Use a triangle with sides of 4, 5 & 6:
cos(A) = 3/4
cos(B) = 9/16
cos(C) = 1/8
--> 12:9:2