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If 2cosx+sinx=1, then find the value of ...

If `2cosx+sinx=1,` then find the value of `7cosx+6sinx`

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To solve the equation \(2 \cos x + \sin x = 1\) and find the value of \(7 \cos x + 6 \sin x\), we can follow these steps: ### Step 1: Rearrange the given equation We start with the equation: \[ 2 \cos x + \sin x = 1 \] Rearranging gives: ...
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Knowledge Check

  • If A=[{:(cosx,-sin x),(sinx, cosx):}] and A+A'=I_(2) , then the general value of x is

    A
    `n pi, n in I`
    B
    `(2n+1)(pi)/(2), ne in I`
    C
    `2n pi +-(pi)/(6)n in I`
    D
    `2n pi+-(pi)/(3), n in I`

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