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Prove that the determinant {:|( x, sin ...

Prove that the determinant ` {:|( x, sin theta ,cos theta ),( -sin theta , -x , 1),( cos theta , 1,x) |:}` is independent of ` theta.

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Knowledge Check

  • If sin theta = cos theta , what is sin theta - cos theta = ?

    A
    0
    B
    1
    C
    -1
    D
    2
  • (1-cos2theta)/(sin2theta)=

    A
    `sintheta`
    B
    `cos theta`
    C
    `tan theta`
    D
    none of these
  • Find the simplest value of sin theta x tan theta + cos theta

    A
    cos`theta`
    B
    tan`theta`
    C
    cosec`theta`
    D
    sec`theta`
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