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Prove that for any triangle ABC,(cosBcos...

Prove that for any triangle ABC,`(cosBcosC)/bc+(cosCcosA)/ca+(cosAcosB)/ab=(sin^2A)/a^2`

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PATHFINDER-TRIGONOMETRIC FUNCTIONS-QUESTION BANK
  1. In any triangle ABC show that b^2sin2C+c^2sin 2B=abc/R

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  2. In any triangle ABC show that sinA+sinB gt sin C

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  3. Prove that for any triangle ABC,(cosBcosC)/bc+(cosCcosA)/ca+(cosAcosB)...

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  4. For any triangle ABC prove that (b-c)cot(A/2)+(c-a)cot(B/2)+(a-b)cot(C...

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  5. for any triangleABC show that (b^2-c^2)/(cosB+cosC)+(c^2-a^2)/(cosC+co...

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  6. if in a triangle ABC ,a^2,b^2,c^2 are in A.P. then show that cotA,cotB...

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  7. In triangle ABC tan(A/2), tan(B/2) and tan (C/2) are in A.P. then prov...

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  8. If in triangleABC ,a^4+b^4+c^4=2c^2(a^2+b^2) then find angleC

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  9. In any triangle ABC if cosA=sinB-cosC then show that any angle of the...

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  10. In any triangle ABC prove that a^2cotA+b^2cotB+c^2cotC=(abc)/R

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  11. in any triangle ABC prove that (b-c)/acos^2(A/2)+(c-a)/(b)cos^2(B/2)+(...

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  12. In triangle ABC if the angles A,B and C be in A.P. then show that 2co...

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  13. In triangle ABC if cosAcosB +sinAsinB sinC=1 then prove that a:b:c=1:1...

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  14. In triangleABC (b+c)/11=(c+a)/12=(a+b)/13 then prove that (cosA)/7=(co...

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  15. in triangleABC if (a^2+b^2)/(a^2-b^2)=sin(A+B)/sin(A-B) then prove th...

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  16. In triangleABC if a/(b+c)=tan(A/2) the show that A+C=pi/2

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  17. if the lengths of sides of a triangle be 1-2x,(x^2-x+1 and (x^2-1) the...

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  18. If in triangleABC ,sin^4A+sin^4B+sin^4C=sin^2Bsin^2C+2sin^2Csin^2A+2si...

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  19. For any triangle ABC prove that acosA+bcosB +c cosC=2a sinBsinC

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  20. If in triangle ABC ,b^2=a(c+a) and c^2=(a+b)b then prove that cosAcos ...

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