Home
Class 12
MATHS
If e^(itheta)=costheta+isintheta, find ...

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|`

Answer

Step by step text solution for 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| by MATHS experts to help you in doubts & scoring excellent marks in Class 12 exams.

Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

A man walks a distance of 3 units from the origin towards the North-East (N45^0E) direction.From there, he walks a distance of 4 units towards the North-West (N45^0W) direction to reach a point Pdot Then, the position of P in the Argand plane is 3e^((ipi)/4)+4i (b) (3-4i)e^((ipi)/4) (4+3i)e^((ipi)/4) (d) (3+4i)e^((ipi)/4)

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

Knowledge Check

  • If e^(lx)=cosx+isinx and x+iy=|(1,e^(pi i//4),e^(pi i//3)),(e^(-pi i//4),1,e^(2pi i//3)),(e^(-pi i//3),e^(-2pi i//3),e^(-2pi i //3))| , then

    A
    `x=-1,y=sqrt(2)`
    B
    `x=1,y=-sqrt(2)`
    C
    `x=-sqrt(2),y=sqrt(2)`
    D
    None of these

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

    A
    `Re(z)=4`
    B
    `lm(z)=0`
    C
    `Re(z)=-4`
    D
    `lm(z)=-1`

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

    A
    0
    B
    2
    C
    E
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    The value of lim_(x->1)(2-x)^(tan((pix)/2)) is e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)

    Statement-1 : If e^(itheta)=cos theta +isintheta and the value of e^(iA).e^(iB).e^(iC) is equal to -1, where A,B,C are the angles of a triangle. and Statement -2 : In any triangleABC , A + B +C = 180^(@)

    int_(-pi//4)^(pi//4)(e^(x)(x^(3)sinx))/(e^(2x)-1)dx equals

    Find the value of 1/(log_(3)e) + 1/(log_(3)e^(2)) + 1/(log_(3)e^(4)) +……….. Is:

    Find the value of 1/(log_3e)+1/(log_3e^2)+1/(log_3e^4)+... is

    Home
    Profile