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theta-varphi=(pi)/(2) then show that [{:...

`theta-varphi=(pi)/(2)` then show that `[{:(cos^(2)theta,costhetasintheta),(costhetasintheta,sin^(2)theta):}][{:(cos^(2)phi,cosphisinphi),(cosphisinphi,sin^(2)phi)]=O`

Answer

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Knowledge Check

  • (cos theta + sin theta )^(2) + (cos theta - sin theta )^(2) =

    A
    0
    B
    1
    C
    2
    D
    `sqrt(2)`
  • If 2-cos^(2)theta = 3 sin theta cos theta then theta =

    A
    `n pi + (pi)/(3) : n in Z`
    B
    `n pi + Tan^(-1)(1//2) : n in Z` or `n pi + (pi)/(4) : n in Z`
    C
    `n pi + (-1)^(n)(pi)/(6) : n in Z`
    D
    `n pi - Tan^(-1)(3//2) : n in Z` or `n pi + Tan^(-1) (1//4) : n in Z`
  • The value of (2 (sin2 theta-2 cos^(2)theta-1))/(cos theta-sin theta-cos 3 theta +sin 3 theta)=

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