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In any A B C , prove that: Delta=(a^2-b...

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

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In any DeltaABC , prove that Delta=(a^(2)-b^(2))/2(sinAsinB)/(sin(A-B)) .

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

In any DeltaABC , prove that : (b^2 - c^2)/a^2 = (sin (B-C))/(sin(B+C))

In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+ sin C)+(b^2sin(C-A))/(sinC+ sin A)+(c^2sin(A-B))/(sinA+ sin B)=0

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

In any triangle A B C , prove that: acos((B-C)/2)=(b+c)sin(A/2)

In any triangle A B C , prove that: \ a^3sin(B-C)+b^3sin(C-A)+c^3sin(A-B)=0

In any triangle A B C , prove that: \ asin(B-C)+b sin(C-A)+csin(A-B)=0

In any triangle A B C , prove that following: \ (a^2"sin"(B-C))/(sin A)+(b^2"sin"(C-A))/(sin B)+(c^2"sin"(A-B))/(sin C)=0

In a Delta A B C , prove that: ((b^2-c^2)/(a^2))sin2A+((c^2-a^2)/(b^2))sin2B+((a^2-b^2)/(c^2))sin2C=0

RD SHARMA ENGLISH-SINE AND COSINE FORMULAE AND THEIR APPLICATIONS-All Questions
  1. In any DeltaA B C ,suma(sinB-sin C)= (a) a^2+b^2+c^2 (b) a^2 (c) b...

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  2. In a Delta A B C , ifsinAa n dsinB are the roots of the equation c^2...

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

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

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  5. In a triangle A B C ,a=4,b=3,/A=60^0 then c is root of the equation c^...

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  6. In any A B C ,2(bc cosA+ ca cosB+ab cosC) =

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  7. In any A B C , the value of 2a csin((A-B+C)/2) is (a)a^2+b^2-c^2 ...

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  8. In a A B C , if (c+a+b)(a+b-c)=a b , then the measure of angel C is p...

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  9. If any triangle A B C , that: (b^2-c^2)/(cosB+cosC)+(c^2-a^2)/(cosC+co...

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  10. In a right angled triangle ABC, write the value of sin^2 A + sin^2 B+ ...

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  11. Prove that, (asin(B-C))/(b^(2)-c^(2)) = (bsin(C-A))/(c^(2)-a^(2)) = ...

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  12. In a A B C , if cosC=(sinA)/(2sinB) , prove that the triangle is isos...

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  13. Problem on sine rule Type:-2 (i)The angle of elevation of the top of t...

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  14. (sqrt(sinA)-sqrt(sinB))/(sqrt(sinA)+sqrt(sinB)) = (a+b-2sqrt(ab))/(a-b...

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  15. Let O be a point inside a triangle A B C such that /O A B=/O B C=/O C ...

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  16. The angle of elevation of the top of a tower from a point A due south ...

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  17. (bsecB+csecC)/(tanB+t a n C)=(csecC+asecA)/(tanC+t a n A)=(asecA+bsecB...

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  18. a(cosC-cosB)=2(b-c)cos^2A/2

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

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  20. cos(2A)/a^2-cos(2B)/b^2 = 1/a^2-1/b^2

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