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In any triangle A B C , prove that follo...

In any triangle `A B C` , prove that following: `\ \ acosA+bcosB+c\ cos C=2bsinAsinC=2csinAsinB`

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RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+...

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  2. In any triangle A B C , prove that following: \ \ asin(A/2)sin((B-C)/2...

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  3. In any triangle A B C , prove that following: \ \ acosA+bcosB+c\ cos C...

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  4. In any triangle A B C , prove that following: \ a\ (cosB cos C+cos A)=...

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  5. In a Delta A B C ,\ ifsin^2A+sin^2B=sin^2C , show that the triangle i...

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  6. The upper part of a tree broken over by the wind makes an angle of 30^...

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  7. If the sides of a DeltaA B C\ are a=4,\ b=6\ a n d\ c=8, show that 4...

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  8. In any Delta A B C , prove that: a(b\ cos C-c cosB)=b^2-c^2

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  9. In any Delta A B C , prove that: (cos A)/a+(cos B)/b+(cos C)/c=(a^2+b...

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  10. In any Delta A B C , prove that: 2(bc cosA+cacosB+a bcosC)=a^2+b^2+c^...

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  11. In a Delta A B C , prove that: (b^2-c^2)cotA+(c^2-a^2)cot B+(a^2-b^2)...

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  12. In a Delta A B C , prove that: ((b^2-c^2)/(a^2))sin2A+((c^2-a^2)/(b^2)...

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  13. In any DeltaA B C prove that acosA+bcosB+c cosC=(8Delta^2)/(a b c)dot

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  14. Two ships leave port at the same time. One goes 24 km per hour in the ...

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  15. A lamp post is situated at the middle point M of the side AC of a t...

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  16. Two trees, A and B are on the same side of a river. From a point C in ...

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  17. In a A B C , prove the following : In a DeltaA B C ,\ if\ a=5, \ b=6...

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  18. In a DeltaA B C , prove the following :\ If\ a=sqrt(2),\ b=sqrt(3)\ a...

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  19. In a DeltaA B C , prove the following : The sides of a triangle area ...

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  20. In a Delta A B C ,If a=18 ,\ b=24 ,\ c=30 , find the value of cos A ,...

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