Home
Class 12
MATHS
If A+B+C=pi, Prove that : sin( A/2) + si...

If `A+B+C=pi`, Prove that : `sin( A/2) + sin( B/2) + sin(C/2) =1 + 4 sin( (B+C)/(4)) sin( (C+A)/(4)) sin( (A+B)/(4))`

Promotional Banner

Similar Questions

Explore conceptually related problems

If A+B+C=pi, prove that sin((A)/(2))+sin((B)/(2))+sin((C)/(2))=1+4sin((pi-B)/(4))sin((pi-B)/(4))*sin((pi-C)/(4))

If A + B + C = pi , prove that sin(A/2)+sin(B/2)+sin(C/2)=1+4sin((pi-A)/4)sin((pi-B)/4)sin((pi-C)/4)

If A, B, C are the angles in a triangle then prove that sin .(A)/(2)+ sin . (B)/(2)+ sin .(C)/(2) =1 +4 sin((pi-A)/(4)) sin ((pi-B)/(4)) sin((pi-C)/(4))

If A+B+C=pi then prove that sin((A)/(2))+sin((B)/(2))+sin((C)/(2))-1=4sin((pi-A)/(4))sin((pi-B)/(4))sin((pi-C)/(4))

If A+B+C=180^@ then prove that sin( A/2)+sin( B/2)+sin( C/2) = 1+4 sin( (pi-A)/4)sin((pi-B)/4)sin ((pi-C)/4)

If A+B+C=pi , prove that : sin ((B+C)/(2)) + sin ((C+A)/(2)) + sin( (A+B)/(2) )= 4cos ((pi-A)/(4)) cos( (pi-B)/(4)) cos((pi-C)/(4)) .

If A + B + C = pi , prove that sin 2A + sin 2B + sin 2C= 4 sin A sin B sin C

If A + B + C= pi , prove that sin 2A + sin 2B -sin 2C =4cos A cos B sin C

In DeltaABC, prove that: a) sin(A/2)+sin(B/2) +sin(C/2)= 1+4sin((pi-A)/4)sin((pi-B)/4).sin((pi-C)/4)

If A+B+C=pi, then prove that sin(B+2C)+sin(C+2A)+sin(A+2B)=4sin((B-C)/(2))sin((C-A)/(2))sin((A-B)/(2))