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Math Help - Trigonometry. sinus

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    Trigonometry. sinus

    Please, help me to figure this one out.
    Appreciate your help =) Happy new year!

    Approximate, to the nearest 0.1 degree, all angles (theta) in the interval [0, 360) that satisfy the equation sin (theta)=0.2548
    there might be more than one answer
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  2. #2
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    Quote Originally Posted by jeunesse27 View Post
    Please, help me to figure this one out.
    Appreciate your help =) Happy new year!

    Approximate, to the nearest 0.1 degree, all angles (theta) in the interval [0, 360) that satisfy the equation sin (theta)=0.2548
    there might be more than one answer
    since \sin{\theta} = 0.2548 > 0 , then two solutions for \theta exist in the given interval ... one in quadrant I and the other in quadrant II.

    get out your calculator, make sure it is in degree mode, and calculate the following ...

    \theta = \sin^{-1}(0.2458)

    \theta = 180 - \sin^{-1}(0.2458)

    \sin^{-1} is the inverse sine function on your calculator.
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