The value of 6sin6⁡θ+cos6⁡θ−9sin4⁡θ+cos4⁡θ+4 is

The value of 6sin6θ+cos6θ9sin4θ+cos4θ+4 is

  1. A

    -3

  2. B

    1

  3. C

    0

  4. D

    3

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    Solution:

    6sin6θ+cos6θ9sin4θ+cos4θ+4=6sin2θ+cos2θ33sin2θcos2θsin2θ+cos2θ9sin2θ+cos2θ22sin2θcos2θ+4=613sin2θcos2θ912sin2θcos2θ+4=69+4=1

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