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In any triangle A B C , prove that: (b-c...

In any triangle `A B C ,` prove that: `(b-c)cot (A/2)+(c-a)cot (B/2)+(a-b)cot (C/2)` =0

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NAGEEN PRAKASHAN ENGLISH-TRIGNOMETRIC FUNCTIONS-EXERCISES 3O
  1. In DeltaABC, prove that: 2[asin^(2)B/2+bsin^(2)A/2]=a+b-c

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  2. In DeltaABC, prove that: (b+c-a)(cotB/2+cotC/2)=2acotA/2

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  3. In DeltaABC, prove that: (b-c)/acos^(2)A/2+(c-a)/(b)cos^(2)B/2+(a-b)...

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  4. In any triangle A B C , prove that: (b-c)cot (A/2)+(c-a)cot (B/2)+(a-b...

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  5. In a DeltaABC the sides a, b and c are in AP. Evaluate (tan ""A/2+tan ...

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  6. In a DeltaABC the sides a, b and c are in AP. Evaluate (tan ""A/2+tan ...

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  7. If b + c = 3a, then find the value of cot.(B)/(2) cot.(C)/(2)

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  8. In DeltaABC, if a,b,c are in A.P. prove that: cot(A/2),cot(B/2), cot...

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  9. In DeltaABC, prove that: (a+b+c).(tan(A/2)+tan(B/2))=2c cot(C/2)

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  10. In DeltaABC, prove that: cotA/2+cotB/2+cotC/2=(a+b+c)/(a+b-c)cotC/2

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  11. In DeltaABC, a,b,c are in A.P., prove that: cotA/2.cotC/2=3

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  12. Find the area of DeltaABC, if a=2, b=3 and c=5 cm

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  13. Find the area of DeltaABC, if a=10cm, angleB=45^(@) and angleC=45^(@)

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  14. Find the area of DeltaABC, if a=10cm, angleB=45^(@) and angleC=45^(@)

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  15. In any A B C , prove that: =(a^2-b)/2dot(sinAsinB)/(sin(A-B))

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  16. In a DeltaABC prove that cotA+cotB+cotC=(a^(2)+b^(2)+c^(2))/(4Delta)

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  17. Prove that in DeltaABC, ((a+b+c)^(2))/(a^(2)+ b^(2)+c^(2))implies(co...

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  18. In DeltaABC, prove that: s^(2).tan(A/2)tan(B/2)tan(C/2)=Delta

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  19. In DeltaABC, prove that: abc. cosA/2.cosB/2.cosC/2=Deltas

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  20. In DeltaABC, prove that: tanA/2.tanB/2.tanC/2=sqrt((1-a/s)(1-b/s)(1-...

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