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If any triangle A B C , that: (b^2-c^2)/...

If any triangle `A B C` , that: `(b^2-c^2)/(cosB+cosC)+(c^2-a^2)/(cosC+cosA)+(a^2-b^2)/(cosA+cosB)=0`

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To prove the equation \[ \frac{b^2 - c^2}{\cos B + \cos C} + \frac{c^2 - a^2}{\cos C + \cos A} + \frac{a^2 - b^2}{\cos A + \cos B} = 0 \] for any triangle \( ABC \), we can follow these steps: ...
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RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In any A B C , the value of 2a csin((A-B+C)/2) is (a)a^2+b^2-c^2 ...

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  2. In a A B C , if (c+a+b)(a+b-c)=a b , then the measure of angel C is p...

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  3. If any triangle A B C , that: (b^2-c^2)/(cosB+cosC)+(c^2-a^2)/(cosC+co...

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  4. In a right angled triangle ABC, write the value of sin^2 A + sin^2 B+ ...

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  5. Prove that, (asin(B-C))/(b^(2)-c^(2)) = (bsin(C-A))/(c^(2)-a^(2)) = ...

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  6. In a A B C , if cosC=(sinA)/(2sinB) , prove that the triangle is isos...

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  7. Problem on sine rule Type:-2 (i)The angle of elevation of the top of t...

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  8. (sqrt(sinA)-sqrt(sinB))/(sqrt(sinA)+sqrt(sinB)) = (a+b-2sqrt(ab))/(a-b...

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  9. Let O be a point inside a triangle A B C such that /O A B=/O B C=/O C ...

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  10. The angle of elevation of the top of a tower from a point A due south ...

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  11. (bsecB+csecC)/(tanB+t a n C)=(csecC+asecA)/(tanC+t a n A)=(asecA+bsecB...

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  12. a(cosC-cosB)=2(b-c)cos^2A/2

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  13. a^2(cos^2B-cos^2C)+b^2(cos^2C-cos^2A)+c^2(cos^2A-cos^2B)=0 .

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  14. cos(2A)/a^2-cos(2B)/b^2 = 1/a^2-1/b^2

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  15. In a Delta A B C ,\ if\ a=2,\ b=3\ a n d\ sin A=2/3 then find /B

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  16. In any triangle A B C , prove that: ("sin"(B-C))/("sin"(B+C))=(b^2-c^2...

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  17. In any triangle A B C , prove that: \ asin(B-C)+b sin(C-A)+csin(A-B)=0

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  18. In any triangle A B C , prove that: \ a^3sin(B-C)+b^3sin(C-A)+c^3sin(A...

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  19. In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

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  20. In any triangle A B C , prove that: (b-c)/(b+c)=(tan((B-C)/2))/(tan((B...

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