The value of the determinant |{cos (A- P) cos(A -Q) cos(A -R)} {cos(B-P) cos(B-Q) cos(B-R)} {cos(C-P) cos(C-Q) cos(C-R)}| is

Question

The value of the determinant

\(\begin{vmatrix} cos(A-P) & cos(A-Q)&cos(A-R)\\cos(B-P) & cos(B-Q)& cos (B-R)\\cos(C-P)&cos(C-Q)&cos(C-R)\end{vmatrix}\) is

(a) 0

(b) 1

(c) sin2A sin2B sin2C

(d) None of these

Answer 1

Correct option is (a) 0

We can write the given determinant as the product of two determinants