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

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

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^(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 e^(i theta)= cos theta+isin theta , find the value of |(1,e^(ipi//3),e^(ipi//4)),(e^(-ipi//3),1,e^(i2pi//3)),(e^(-ipi//4),e^(-2ipi//3),1)|

If A+B+C=pi and e^(itheta)=costheta+isintheta and z=|[e^(2iA), e^(-iC), e^(-iB)] , [e^(-iC), e^(2iB), e^(-iA)], [e^(-iB), e^(-iA), e^(2iC)]| , then

If A+B+C=pi and e^(itheta)=costheta+isintheta and z=|[e^(2iA), e^(-iC), e^(-iB)] , [e^(-iC), e^(2iB), e^(-iA)], [e^(-iB), e^(-iA), e^(2iC)]| , then

Statement-I : If e^(itheta)=costheta+isintheta then for the DeltaABCe^(iA)e^(iB)e^(iC)=-1 Statement-II : If (sqrt3+1)^(100)=2^(99)(a+ib) then b=2sqrt3