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-   -   Exact value (https://www.askmehelpdesk.com/showthread.php?t=380330)

  • Jul 27, 2009, 07:58 AM
    lorraine_09
    exact value
    Find the exact value for cos 105 degrees (No credit for a decimal answer from a calculator!)

    thank you very much!:)
  • Jul 27, 2009, 09:05 AM
    Unknown008

    You know the basic identities?













    Well, you'll use them here.

    What is 105?

    It is 45 + 60.

    So,

    but cos(A+B) = cos A cosB - sin A sin B[/math]

    So, cos (105) = cos (45+60) = cos 45 cos 60 - sin 45 sin 60

    Can you do it now? :)
  • Jul 27, 2009, 09:13 AM
    lorraine_09

    Yes thank you very much!

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