Home
Class 12
MATHS
If A, B, C are the angles in a triangle...

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))`

Promotional Banner

Similar Questions

Explore conceptually related problems

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))

In triangle ABC , prove that sin .(A)/(2)+ sin. (B)/(2) -sin. (C)/(2)=-1+4 cos.(pi-A)/(4)cos. (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-B)/(4))sin((pi-B)/(4))*sin((pi-C)/(4))

If A,B,C are angles in a triangle , then prove that cosA+cosB+cosC=1+4sin. (A)/(2)sin. (B)/(2) sin. (C)/(2)

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

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)) .

In any triangle ABC, prove that : sin frac (A)(2) +sin frac (B)(2)+sin frac (C)(2)=1+4 sin frac (pi-A)(4) sin frac (pi-B)(4) sin frac (pi-C)(4) .

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