The value of 1+cos⁡56∘+cos⁡58∘−cos⁡66∘is equal to

The value of 1+cos56+cos58cos66is equal to

  1. A

    2cos28cos29cos33

  2. B

    4cos28cos29sin33

  3. C

    4cos28cos29cos33

  4. D

    2cos28cos29sin33

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    Solution:

    1+cos56+cos58cos66=2cos228+2sin62sin4=2cos228+2cos28cos86=2cos28cos28+cos86=2cos282cos57cos29=4cos28cos29cos33

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