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In any A B C , prove that: 2{b cos^2...

In any ` A B C` , prove that: `2{b cos^2(C/2) + c cos^2(B/2)}=a+c+b`

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RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In any DeltaABC , prove that: (sinB)/(sinC)=(c-acosB)/(b-acosC)

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  2. In any A B C , prove that: 2{asin^2C/2+csin^2A/2}=a+c-b

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  3. In any A B C , prove that: 2{b cos^2(C/2) + c cos^2(B/2)}=a+c+b

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  4. In any A B C , prove that: (b+c)cos A+(c+a)cos B+(a+b)cos C=a+b+c

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  5. For any triangle ABC, prove that a(bcosC-c cosB)=b^2-c^2

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  6. In a Delta A B C ,if a=2,/B=60^0a n d/C=75^0 , then b= (a)sqrt(3) ...

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  7. If a^2,b^2,c^2 are in A.P., prove that cotA ,cotB ,cotC are in AdotPdo...

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  8. In any triangle A B C , prove that: (1+cos(A-B)cos C)/(1+cos(A-C)cos B...

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  9. In any triangle. if(a^2-b^2)/(a^2+b^2)=("sin"(A-B))/("sin"(A+B)) , the...

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  10. For any triangle ABC, prove that acosA+bcosB+ccosC=2asinBsinC

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

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  12. If in a A B C ,(sinA)/(sinC)=(sin(A-B))/(sin(B-C) , prove that a^2,b^...

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  13. In a triangle A B C , if acosA=bcosB , show that the triangle is eithe...

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  14. If in triangle the angles are in the ratio as 1:2:3 , prove that the ...

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  15. In the sides of a triangle are in the ratio 1:sqrt(3):2, then the meas...

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

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  17. The angles of a triangle A B C are in AdotPdot and it is being given t...

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  18. In A B C , prove that (a-b^2cos^2C/2+(a+b)^2sin^2C/2=c^2dot

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  19. In a A B C , if a=3,b=5a n dc=7,fin dcos A ,cos Ba n dcos Cdot

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  20. A particle just clears a wall of height b at distance a and strikes...

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