If `A , B ,C` are angles of a triangles, then the value of `|[e^(2i A),e^(-i C),e^(-i B)],[e^(-i C),e^(2i B),e^(-i A)],[e^(-i B),e^(-i A),e^(2i C)]|` is `1` b. `-1` c. `-2` d. `-4`

If A,B and C are angle of a triangle of a triangle ,the value of |{:(e^(2iA),e^(-iC),e^(-iB)),(e^(-iC),e^(2iB),e^(-iA)),(e^(-iB),e^(-iA),e^(2iC)):}| is (where i= sqrt(-1))

In triangle ABC ,, the value of, e^(-i2A), e^(iC), e^(iB) e^(iC), e^(-i2B), e^(iA) e^(iB) , e^(iA), e^(-i2C)] |

If A+B+C, = pi and e^(i theta) = cos theta+i sin theta and z = det [[e^(-iC), e^(2iB), e^(-iA) e^ (-iB), e^(-iA), e^(2iC)]], then

If alpha + beta + gamma = pi , then the value of the determinant |(e^(2i alpha),e^(-i gamma),e^(-i beta)),(e^(-i gamma),e^(2i beta),e^(-i alpha)),(e^(-i beta),e^(-i alpha),e^(2i gamma))| , is

If e^(i theta)=cos theta+i sin theta, find the value of |1e^(i pi/3)e^(i pi/4)e^(-i pi/3)1e^(i2 pi/3)e^(-i pi/4)e^(-i2 pi/3)1|

If z!=0 upper bound of |z^(i)| is A) |z| B) 1 C) e^(-pi) D) e^(pi)