[" The value of "i^(i)" is "],[0e^(-pi/2)],[0e^(pi/2)],[0e^(pi/4)],[" O None of these "]

If e^(itheta)=costheta+isintheta, find the value of |[1,e^(ipi//3),e^(ipi//4)],[e^(-ipi//3),1,e^(i2pi//3)],[e^(-ipi//4),e^(-i2pi//3),1]|

If e^(itheta)=costheta+isintheta, find the value of |[1,e^(ipi//3),e^(ipi//4)],[e^(-ipi//3),1,e^(i2pi//3)],[e^(-ipi//4),e^(-i2pi//3),1]|

The correct option among the following is (a)pi^(e) e^(pi),(c)pi^(e)=e^(pi),(d) none of these

The value of int_(pi//4)^(pi//4)(e^(x)sec^(2)x)/(e^(2x)-1)dx , is

One value of (1+i)^((1)/(2)) is (2)^((1)/(4))e^(i((pi)/(8))) then the other value 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|

int_(0)^( pi/2)e^(x)xdx=