If A,B,C be the angles of a triangle , ...

If A,B,C be the angles of a triangle , then the value of `Delta=|(-1,cosC,cosB),(cosC,-1,cosA),(cosB,cosA,-1)|` is

A

1

B

0

C

`cosAcosBcosC`

D

`cosA+cosBcosC`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If A,B and C are angles of a triangle then the determinant |(-1,cosC,cosB),(cosC,-1,cosA),(cosB,cosA,-1)| is equal to

Let A,B,C,D be the angles of a quadrilateral . If they are concyc lic , then the value of cosA+cosB+cosC+cosD is

If A + B + C = 0, then prove that Det [[1, cosC, cosB], [cosC, 1, cosA], [cosB, cosA, 1]] = 0

If A, B, C, D be the angles of acyclic quadrilateral, show that : cosA +cosB+cosC+cosD=0 .

If A,B,C are the angles of a triangle, the system of equations (sinA)x+y+z=cosA , x+(sinB)y+z=cosB , x+y+(sinC)z=1-cosC has