If leqalign R t - beginbmatrix cos- t -sin- t-sin- t -cos- t-endbmatrix then R s - R t -Roorkee1981-A- R s - R t B- R st C- R s - t D- None of these

The correct option is C R(s+t) R(s) R(t) = [ cos s amp; sin s; sin s amp; cos s ][ cos t amp; sin t; sin t amp; cos ...

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Global Maxima

If leqalign R...

Question

If $\begin{matrix} R (t) = [\begin{matrix} c o s t & s i n t - s i n t & c o s t \end{matrix}] \end{matrix}$

then R(s).R(t) = [Roorkee1981]

R(s)+R(t)

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R(st)

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R(s+t)

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None of these

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If $\begin{matrix} R (t) = [\begin{matrix} c o s t & s i n t - s i n t & c o s t \end{matrix}] \end{matrix}$

then R(s).R(t) =

A = ⎡ ⎢ ⎣ \begin{matrix} e^{t} & e^{- t} cos t & e^{- t} sin t e^{t} & - e^{- t} cos t - e^{- t} sin t & - e^{- t} sin t + e^{- t} cos t e^{t} & 2 e^{- t} sin t & - 2 e^{- t} cos t \end{matrix} ⎤ ⎥ ⎦

A

A = ⎡ ⎢ ⎣ \begin{matrix} e^{t} & e^{- t} cos t & e^{- t} sin t e^{t} & - e^{- t} cos t - e^{- t} sin t & - e^{- t} sin t + e^{- t} cos t e^{t} & 2 e^{- t} sin t & - 2 e^{- t} cos t \end{matrix} ⎤ ⎥ ⎦

A

⎡ ⎢ ⎣ \begin{matrix} e^{t} & e^{- t} cos t & e^{- t} sin t e^{t} & - e^{- t} cos t - e^{- t} sin t & - e^{- t} sin t + e^{- t} cos t e^{t} & 2 e^{- t} sin t & - 2 e^{- t} cos t \end{matrix} ⎤ ⎥ ⎦

A

{(\frac{d x}{d t})}^{2} + {(\frac{d y}{d t})}^{2} =

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