If the sides of a triangle ABC are a=4,b=6 and c=8 . shown that 4cos B +CosC =2.
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Answered by
6
Given, A= 4,B= 6,C=8
By use of section formula.
Cos B= a^2+c^2-b^2/2ac.
= 16+64-36/2×4×8
44/64=11/16
CosC =a^2+b^2-c^2/2ab
=16+36-64/2*4*6
-12/48=-1/4
4cosB+3cosC=4*11/16-3/4
11/4-3/4 = 2.
By use of section formula.
Cos B= a^2+c^2-b^2/2ac.
= 16+64-36/2×4×8
44/64=11/16
CosC =a^2+b^2-c^2/2ab
=16+36-64/2*4*6
-12/48=-1/4
4cosB+3cosC=4*11/16-3/4
11/4-3/4 = 2.
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25
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