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In any DeltaABC, prove that ((b+c))/ac...

In any `DeltaABC`, prove that
`((b+c))/acos""((B+C))/2=cos""((B-C))/2`

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RS AGGARWAL-SOLUTION OF TRIANGLES-EXERCISE 18 A
  1. In any A B C , prove that: (cos A)/a+(cos B)/b+(cos C)/c=(a^2+b^2+c^2...

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  2. In any DeltaABC, prove that (c-bcosA)/(b-c cos A)=(cos B)/(cosC)

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  3. In any DeltaABC, prove that 4(bc cos^(2)""A/2+ca cos^(2)""B/2+ab cos^...

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  4. In any DeltaABC, prove that asinA-bsinB=csin(A-B)

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  5. In any DeltaABC, prove that a^(2)sin(B-C)=(b^(2)-c^(2))sinA

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  6. In any triangle A B C , prove that following: \ \ a^2sin(B-C)=(b^2-c^2...

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  7. In any DeltaABC, prove that ("sin(A-B)")/("sin(A+B)")=((a^(2)-b^(2))...

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  8. In any DeltaABC, prove that ((b-c))/acosA/2=sin((B-C))/2

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  9. In any DeltaABC, prove that ((a+b))/csin""C/2=cos""((A-B))/2

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  10. In any DeltaABC, prove that ((b+c))/acos""((B+C))/2=cos""((B-C))/2

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

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  12. In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+...

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  13. In any DeltaABC, prove that (cos2A)/a^(2)-(cos2B)/b^(2)=(1/a^(2)-1/b...

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  14. In any DeltaABC, prove that (c^(2)-a^(2)+b^(2))tanA=(a^(2)-b^(2)+c^(2...

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  15. In any DeltaABC, prov "If in a "DeltaABC, /C=90^(@)," then prove that ...

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  16. "In a "DeltaABC, if(cosA)/a=(cosB)/b,"show that the triangle is isosce...

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  17. In a A B C ,\ ifsin^2A+sin^2B=sin^2C , show that the triangle is righ...

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  18. Solve the triangle in which a = 2 cm, b = 1 cm and c=sqrt3cm.

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  19. "In a"DeltaABC, if a =3cm, b=5cmand c=7cm," find cos A, cos B, cos C"

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  20. If in triangle the angles be to the one another as 1:2:3 , prove that ...

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