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In any triangle ABC, prove that : a sin ...

In any triangle ABC, prove that : `a sin (A/2+B)= (b +c) sin frac (A)(2)`.

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In any triangle ABC, prove that : sin (A + B) = sin C .

In any triangle ABC, prove that : a cos frac (B-C)(2)= (b +c) sin frac (A)(2)= (b+c)cos frac (B+C)(2) .

In any triangle ABC, prove that : cos frac (A+B)(2)= sin frac (C)(2) .

In any triangle ABC, prove that : sin frac (A-B)(2)= (a-b)/c cos frac (C)(2) .

In any triangle ABC, prove that : sin frac (A)(2) +sin frac (B)(2)+sin frac (C)(2)=1+4 sin frac (pi-A)(4) sin frac (pi-B)(4) sin frac (pi-C)(4) .

In any triangle ABC, prove that : cos frac (B-C)(2)= 2 sin frac (A)(2) , when b+c=2a .

In any triangle ABC, prove that : sin frac (B-C)(2) = (b-c)/(a) cos frac (A)(2) .

In any triangle ABC, prove that : a (cos B + cos C) = 2 (b +c) sin^2 frac (A)(2) .

In any triangle ABC, prove that : a sin (B -C) + b sin (C -A) +c sin (A-B) = 0 .

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

MODERN PUBLICATION-TRIGNOMETRY-EXERCISE
  1. Find all values of A between 0^@ and 720^@, which satisfy the equatio...

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  2. In any triangle ABC, prove that : sin frac (A-B)(2)= (a-b)/c cos frac ...

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  3. In any triangle ABC, prove that : a sin (A/2+B)= (b +c) sin frac (A)(2...

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  4. In any triangle ABC, prove that : a cos frac (B-C)(2)= (b +c) sin frac...

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  5. In any triangle ABC, prove that : (a-b)/c= (sin frac (A-B)(2))/(cos fr...

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  6. In any triangle ABC, prove that : (b-c)/a= (sin frac (B-C)(2))/(cos fr...

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  7. In any triangle ABC, prove that : cos frac (B-C)(2)= 2 sin frac (A)(2)...

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  8. If the sides be a,b,c then show that a cos A + B + cos B+ cos C = 4R s...

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  9. In any triangle ABC, prove that : a sin (B -C) + b sin (C -A) +c sin (...

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  10. In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+sin C)+(b^2sin...

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  11. In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+sin C)+(b^2sin...

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

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

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  14. In any triangle ABC, prove that : a (cos B + cos C) = 2 (b +c) sin^2 ...

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  15. In any triangle ABC, prove that : a (cos C - cos B) = 2 (b-c) cos^2 fr...

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

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  17. In any triangle ABC, prove that : (c^2-a^2+b^2) tan A= (a^2-b^2+ c^2) ...

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  18. In any DeltaABC, 2 [bc cos A + ca cos B+ ab cos C]=

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  19. In any triangle ABC, prove that : (b + c) cos A + (c + a) cos B + (a +...

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  20. In any triangle ABC, prove that : (b^2-c^2) cot A + (c^2-a^2)cot B +(...

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