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8 October, 18:11

Find the exact value of Cos 7pie/12

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  1. 8 October, 18:26
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    The value is ((square root 2) - (square root 6)) / 4

    Step-by-step explanation:

    We can find the value by breaking up the cos (7pi/12) into

    cos (4pi/12 + 3pi/12)

    This is the same thing as

    cos (pi/3 + pi/4)

    You can then rewrite that as

    cos (pi/3) * cos (pi/4) - sin (pi/3) * sin (pi/4)

    Then solve for each value

    1/2 * ((square root 2) / 2) - ((square root 3) / 2) * ((square root 2) / 2)

    Multiply each value that should be together

    ((square root 2) / 4) - ((square root 6) / 4)

    Common denominators allow the answer to be further simplified to

    ((square root 2) - (square root 6)) / 4
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