Let `a ,\ b` and `c` denote the sides `B C ,\ C A` and `A B` respectively of ` A B C` . If `|1a b1c a1b c|=0,` then find the value of `sin^2A+sin^2B+sin^2C` .

Let a , b and c detnote the sides BC,CA and AB respectively of triangle ABC . If |[1,a, b],[1,c, a],[1,b ,c]|=0 . find the value of sin^2A+sin^2B+sin^2C

If any triangle ABC, find the value of asin(B-C)+b sin(C-A)+c sin(A-B)dot

If the angles A, B and C of a triangle are in an arithmetic progression and if a, b and c denote the lengths of the sides opposite to A, B and C respectively, then the value of the expression (a)/(c) sin 2C + (c)/(a) sin 2A is

In a Delta ABC " if " |(1,a,b),(1,c,a),(1,b,c)| =0 , then sin^(2) A + sin^(2) B + sin^(2) C is

If a, b, c are sides of the triangle ABC and |(1,a, b),(1,c,a),(1,b,c)|=0 , then the value of cos 2A+cos 2B+cos 2C is equal to

In a "Delta"A B C , let a ,b , and c denote the length of sides opposite to vertices A, B, and C respectively. If b=2,c=sqrt(3) and /_B A C=pi/6, then value of circumradius of triangle ABC is- 1/2 (2) 1 (3) 2 (4) 1/4

Consider a DeltaABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C, repectively. if a=1,b=3 and C=60^(@), then sin ^(2) B is equal to

A triangle ABC is such that sin(2A+B) =1/2 and If A, B and C are in A.P., then find the value of A and C

In a right triangle A B C right angled at B , /_A C B=theta , A B=2c m and B C=1\ c m . Find the value of sin^2theta+tan^2theta .

If in triangle ABC, a, c and angle A are given and c sin A lt a lt c , then ( b_(1) and b_(2) are values of b)