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Simplify cos theta[(cos theta,sin theta)...

Simplify `cos theta[(cos theta,sin theta),(-sin theta,cos theta)]+sin theta[(sin theta,-cos theta),(cos theta,sin theta)]`

Answer

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Knowledge Check

  • cos theta [(cos theta, sin theta),(-sin theta, cos theta)]+sin theta[(sin theta, -cos theta),(cos theta, sin theta)] is equal to

    A
    `[(1,0),(0,1)]`
    B
    `[(0,1),(1,0)]`
    C
    `[(0,0),(1,1)]`
    D
    None of these
  • If f(theta)=|(cos^(2) theta, cos theta sin theta, -sin theta),(cos theta sin theta, sin^(2) theta, cos theta),(sin theta, -cos theta, 0)| then f((pi)/12)=

    A
    0
    B
    1
    C
    -1
    D
    2
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