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Evaluate the following: |costheta, -sin...

Evaluate the following: ` |costheta, -sin theta],[sin theta, cos theta]| `

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Find the value of |[cos theta,-sin theta],[sin theta,cos theta]|

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Knowledge Check

  • Evaluate : sin theta cos theta - (sin theta cos (90^(@) - theta) cos theta)/( sec (90^(@) - theta)) - (cos theta sin (90^(@) - theta) sin theta)/( cosec (90^(@) - theta))

    A
    `-1`
    B
    2
    C
    0
    D
    1

  • (sin3theta-cos3theta)/(sintheta+costheta)+1 =

    A
    `2 sin 2theta`
    B
    `2 cos 2theta`
    C
    `tan 2theta`
    D
    `cot 2theta`

  • 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/7) is

    A
    symmetric
    B
    skew-symmetric
    C
    singular
    D
    non-singular

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    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))

    Simplify: cos theta[cos theta sin theta-sin theta cos theta]+sin theta[sin theta-cos theta cos theta sin theta]

    If cos2theta=0 , then |(0,costheta,sin theta),(cos theta, sin theta, 0),(sin theta, 0, cos theta)|^(2) is equal to…………

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