If `cos(A+B+C)=cosAcosBcosC ,` then find the value of `(8sin(B+C)sin(C+A)sin(A+B))/(sin2Asin2Bsin2C)`

In quadrilateral A B C D , if sin((A+B)/2)cos((A-B)/2)+"sin"((C+D)/2)cos((C-D)/2)=2 then find the value of sinA/2sinB/2sinC/2sinD/2dot

In triangle ABC, prove that sin(B+C-A)+sin(C+A-B)+sin(A+B-C)=4sin Asin Bsin Cdot

If the incircle of the triangle ABC passes through its circumcenter, then find the value of 4 sin.(A)/(2) sin.(B)/(2) sin.(C)/(2)

In a right angle triangle ABC, right angle is at B ,If tan A=sqrt(3) , then find the value of (i) sin A cos C+ cos A sin C " "(ii) cos A cos C -sin A sin C

Expand cos ( A + B + C). Hence prove that cos A cos B cos C = sin A sin B cos C + sin B sin C cos A + sin C sin A cos B, if A + B + C = (pi)/(2) .

If A + B + C = 180^(@) , prove that sin(B + C - A) + sin (C + A - B) + sin(A + B + C) = 4 sin A sin B sin C.

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

If in triangle A B C ,/_C=45^0 then find the range of the values of sin^2A+sin^2Bdot

If A + B + C = 2s, then prove that sin (s - A) sin (s - B) + sin s. sin (s - C) = sin A sin B .

In Delta ABC,if cos A+sin A-2/(cosB+sin B)=0, then the value of ((a+b)/c)^4 is