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In any triangle A B C , prove that: a^3c...

In any triangle `A B C ,` prove that: `a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B)=3a b c`

A

3abc

B

3(a+b+c)

C

abc(a+b+c)

D

0

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
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  3. In any triangle A B C , prove that: a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B...

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  6. If a cos A =b cos B, then the triangle is

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  12. In a right angled triangle ABC sin^(2)A+sin^(2)B+sin^(2)C=

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  13. In any DeltaABC, is 2 cos B=a/2, then the triangle is

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  14. If in a triangle ABC ,a sin A=b sin B, then the triangle, is

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  16. In any triangle ABC b^(2)sin2C+c^(2)sin2B=

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  17. If in a triangle ABC, (cosA)/a=(cosB)/b=(cosC)/c,then the triangle is

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  19. If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in ...

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  20. In a triangle, the lengths of the two larger sides are 10 and 9, res...

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