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Show that (1)/( cos theta ) -cos theta =...

Show that `(1)/( cos theta ) -cos theta =tan theta .sin theta `

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Knowledge Check

  • If x = theta cos theta + sin theta, y = cos theta- theta sin theta , then dy/dx at theta = pi/2

    A
    `-pi/2`
    B
    `2/pi`
    C
    `pi/4`
    D
    `4/pi`
  • Let P={theta : sin theta -cos theta =sqrt2cos theta} and Q={theta : sin theta +cos theta =sqrt2 sin theta} be two sets . Then :

    A
    `P sub Q` and `Q- P ne phi`
    B
    `Q cancelsub P`
    C
    `P cancelsub Q`
    D
    `P=Q`
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