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

If in triangle A B C ,Delta =a^2-(b-c)^2 , then find the value of tan(A/2).

In a triangle ABC if b+c=3a then find the value of cot(B/2)cot(C/2)

In a triangle A B C ,/_A=60^0a n db : e=(sqrt(3)+1):2, then find the value of (/_B-/_C)dot

IF tan A and tan B are the roots of abx^2 - c^2 +ab =0 where a,b,c are the sides of the triangle ABC then the value of sin ^2 + sin ^2 B + sin ^2 C is

Find the value of cos 45^(@) + sin 45^(@)

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)

If A, B, C are the angles of a triangle such that sin^(2)A+sin^(2)B=sin^(2)C , then

In DeltaABC, a = 3, b = 4 and c = 5 , then value of sinA + sin2B + sin3C is

In a triangle A B C , if A-B=120^0a n dsin(A/2)sin(B/2)sin(C/2)=1/(32), then the value of 8cosC is_______