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Math Help - Trig; Sin Problem:

  1. #1
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    Trig; Sin Problem:

    Evaluate:

    sin^2x= \frac{1}{2}


    \text{Thanks!}
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  2. #2
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    Quote Originally Posted by qbkr21 View Post
    Evaluate:

    sin^2x= \frac{1}{2}


    \text{Thanks!}
    Two possibilities when you take the square root,
    \sqrt{\frac{1}{2}}=\frac{\sqrt{2}}{2}
    And,
    -\sqrt{\frac{1}{2}}=-\frac{\sqrt{2}}{2}
    Thus which (non-coterminal) angles give you this result?
    x=\pi/4,5\pi/4
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    Re:

    So you initially want to get sin(x) by iteself? Is the method you took PerfectHacker?
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  4. #4
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    Quote Originally Posted by qbkr21 View Post
    Evaluate:

    sin^2x= \frac{1}{2}
    Hello,

    sin^2x= \frac{1}{2} . Caculate the square-root:

    \sin(x)= \frac{1}{2}\cdot \sqrt{2}. Now calculate arcsin:

    x = \frac{1}{4} \pi+2\pi \cdot k\ or\ x=\frac{3}{4} \pi+2\pi \cdot k

    EB
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  5. #5
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    Quote Originally Posted by qbkr21 View Post
    So you initially want to get sin(x) by iteself? Is the method you took PerfectHacker?
    Yes.
    If you want you can let,
    y=\sin x
    Then,
    y^2=\frac{1}{2}
    Thus,
    y=\pm \sqrt{\frac{1}{2}}
    Each sign is a different answer.
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  6. #6
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    Re:

    Thanks for the help, I clearly understand how to solve these types of problems now, however I still am unable to determine the proper notation that the computer will accept...

    sin^2(x)= \frac{1}{2}

    Now it wants me to enter in just the number...
    it gives me:

    t= ________________ \pi

    ???? What should I do...
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  7. #7
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    Re:

    Here are the directions to the problem:

    Give the answer as a multiple of \pi. Do not use decimal numbers. The answer should be a fraction or an integer. Note that \pi is already included in the answer so you just have to enter the appropriate multiple. E.g. if the answer is \frac{\pi}{2} you should enter 1/2. If there is more than one answer enter them separated by commas.
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