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Math Help - Using inverse trig functions to find angles

  1. #1
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    Using inverse trig functions to find angles

    Hi, can anyone please help? I 'm not sure what I'm supposed to do...

    the directions are: Use an inverse trigonometric function to write theta as a function of x.

    Below I've drawn out 2 of the problems... if you could do just one,I would really appreciate it so I could finish the others.... thank you!!!

    Using inverse trig functions to find angles-math-problems.jpg

    just in case the drawing is not clear,
    the first problems reads x+2 is opposite of theta, 5 is the hypotenuse.
    the second problem reads x is opposite of theta, 4 is adjacent.

    thanks again!
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by overduex View Post
    Hi, can anyone please help? I 'm not sure what I'm supposed to do...

    the directions are: Use an inverse trigonometric function to write theta as a function of x.

    Below I've drawn out 2 of the problems... if you could do just one,I would really appreciate it so I could finish the others.... thank you!!!

    Click image for larger version. 

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    just in case the drawing is not clear,
    the first problems reads x+2 is opposite of theta, 5 is the hypotenuse.
    the second problem reads x is opposite of theta, 4 is adjacent.

    thanks again!
    i'll do the first, the second is similar

    By the sine trig ratio:

    \sin \theta = \frac {\mbox{Opposite}}{\mbox{Hypotenuse}} = \frac {x + 2}{5}

    \Rightarrow \theta = \sin^{-1} \left( \frac {x + 2}5 \right)


    now do the second
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