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Prove that : acosB\ cos C+bcosCcosA+c\ c...

Prove that : `acosB\ cos C+bcosCcosA+c\ cos AcosB=/R`

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If A+B+C = pi , prove that : cos2A +cos2B +cos2C =-1-4cosAcosBcosC .

In any Delta A B C , prove that: (cosA)/(bcosC+c cosB)+(cosB)/(c cosA+acosC)+(cosC)/(acosB+bcosA)=(a^2+b^2+c^2)/(2a b c)

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

In any triangle A B C , prove that following: \ a\ (cosB cos C+cos A)=b(cos C\ cos A+cos B)=c(cos A\ cos B+cos C)dot

In any DeltaABC , prove that : a cos A + b cos B + c cos C = 2a sin B sin C

In a Delta A B C , prove the following : \ a(cos B+cos C-1)+b(cos C+cos A-1)+c(cos A+cos B-1)=0 .

If A+B+C = pi , prove that : cos2A-cos2B -cos2C = -1+4cosAsinBsinC

In a triangle ABC, prove that: cos^4A+cos^4B+cos^4C= 3/2 + 2 cosA cosB cosC+ 1/2 cos 2A cos2B cos2C

Prove that a cos A + b cos B + c cos C = 4 R sin A sin B sin C.

Prove that : (sin 2A+sin 2B + sin 2C)/(cos A + cos B + cos C-1) = 8 cos(A/2) cos( B/2) cos( C/2)

ALLEN-SOLUTION AND PROPERTIES OF TRIANGLE-All Questions
  1. (An)/(Bn) is equal to (theta=pi/n) (2theta-sin2theta)/(sin2theta-thet...

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  2. Prove that : 4\ R\ sin AsinB\ sin C=acosA+b\ cos B+c cosCdot

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  3. Prove that : acosB\ cos C+bcosCcosA+c\ cos AcosB=/R

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  4. If p1, p2, p3, be the altitudes of a triangle ABC from the vertices A,...

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  5. Prove that : (a b c)/scosA/2cosB/2cosC/2=

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  6. In a DeltaABC, if B=3C, prove that (i) cosC=sqrt(((b+c)/(4c)))" (i...

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  7. A B C is a triangle. D is the mid point of B Cdot If A D is perpendicu...

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  8. Let 1 lt m lt 3. ln a Delta ABC, if 2b= (m+1) a and cos A=1/2 sqrt(((m...

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  9. Prove that : 1/(r1)+1/(r2)+1/(r3)=1/r

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  10. Prove that r1+r2+r3-r=4R

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  11. If r(1), r(2) ,r(3) are the ex-radii of DeltaABC, then prove that (b...

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  12. Consider a D E F , the pedal triangle of the A B C such that A-F-B\ ...

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  13. D E F is the triangle formed by joining the points of contact of the i...

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  14. If sides a , b , c of the triangle A B C are in AdotPdot , then prove ...

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  15. sin6x=sin4x−sin2x then Find the value of x.

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  16. In a Delta ABC, GA,GB,GC makes angles alpha, beta, gamma with each oth...

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  17. about to only mathematics

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  18. If A,A1,A2 and A3 be respectively the areas of the inscribed and escri...

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  19. The value of 1+cot ^2A is

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  20. In a triangle, if the angles A , B ,a n dC are in A.P. show that 2cos1...

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