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Thread: Trig Equation

  1. #1
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    Trig Equation

    A solution set of the equation 5 sin(theta)+ 3 = 3 contains all multiples of

    (a) 45 degrees

    (b) 90 degrees

    (c) 135 degrees

    (d) 180 degrees
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  2. #2
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    Quote Originally Posted by magentarita View Post
    A solution set of the equation 5 sin(theta)+ 3 = 3 contains all multiples of

    (a) 45 degrees

    (b) 90 degrees

    (c) 135 degrees

    (d) 180 degrees
    Well, first we have to isolate the $\displaystyle \sin {\theta}$

    $\displaystyle 5 \sin {\theta} +3 = 3$
    subtract 3 from both sides to get

    $\displaystyle 5 \sin {\theta)=0$
    divide both sides by 5

    $\displaystyle \sin {\theta} = 0$

    Now, for what $\displaystyle \theta$ does $\displaystyle \sin {\theta} = 0$? That is true at all multiples of 180 degrees so d is your answer.
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  3. #3
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    ok..........

    Quote Originally Posted by caelum View Post
    Well, first we have to isolate the $\displaystyle \sin {\theta}$

    $\displaystyle 5 \sin {\theta} +3 = 3$
    subtract 3 from both sides to get

    $\displaystyle 5 \sin {\theta)=0$
    divide both sides by 5

    $\displaystyle \sin {\theta} = 0$

    Now, for what $\displaystyle \theta$ does $\displaystyle \sin {\theta} = 0$? That is true at all multiples of 180 degrees so d is your answer.
    I did not realize that this question is really easy.
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