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Math Help - Trig ratios, other trig mapping questions :/ Help greatly appreciated

  1. #1
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    Trig ratios, other trig mapping questions :/ Help greatly appreciated

    Hey folks. Few questions here. A reply in detail ASAP = insanely appreciated.

    1. If sin a = y/r ; write the other 5 trigonometric ratios for a.

    2. If csc B = -14/10 ; and B is in the fourth quadrant. Find the coordinate of the point on the end of the terminal arm, and its principle angle. Then find all the trigonometric ratios for B.

    [t graph here]

    (( I know it might be a challenge to find a graph but if you could upload one to imageshack or something or just explain it, It'd be great help ))

    3. If (weird symbol, I think theta) * is third quadrant angle and cot * = -15/-8, find:

    a) sin * cos *
    b) cos^2 *
    c) 4 cot *
    d) cot * tan *

    Once again thank you SO much for reading and helping! Need this for tommorow before I get behind!
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  2. #2
    Senior Member I-Think's Avatar
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    Well for number 1
    The other 5 trig ratios are cos a, tan a, sec a, cosec a, cot a
    Trigonometric functions - Wikipedia, the free encyclopedia
    See that link for more detail
    sin a =\frac{y}{r}

    cos a=\sqrt{1-sin^2a}
    cos a =\sqrt{1-\frac{y^2}{r^2}}

    tan a=\frac{\frac{y}{r}}{\sqrt{1-\frac{y^2}{r^2}}}

    cosec a=\frac{r}{y}

    sec a=\frac{1}{\sqrt{1-\frac{y^2}{r^2}}}

    cot a=\frac{\sqrt{1-\frac{y^2}{r^2}}}{\frac{y}{r}}
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  3. #3
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    Thank you, (thanks) now I just need the last 2, tyvm
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Luciffer View Post
    Thank you, (thanks) now I just need the last 2, tyvm
    Show us what you have been able to do, given the solution to the first problem.

    -Dan
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  5. #5
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    Quote Originally Posted by topsquark View Post
    Show us what you have been able to do, given the solution to the first problem.

    -Dan
    Lol, he didn't explain how he got there so I learned nothing. Wikipedia page didn't get me anywhere. I basically know little about trig outside of the basics. bah
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  6. #6
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    Quote Originally Posted by Luciffer View Post
    Lol, he didn't explain how he got there so I learned nothing. Wikipedia page didn't get me anywhere. I basically know little about trig outside of the basics. bah
    You need not anything other than basic trig to solve these. Use the definitions of these functions and the fact that cos^2(x)+sin^2(x) \equiv 1 to solve the others, and if you have trouble doing so, show what you've done and we will help you.
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  7. #7
    Super Member bigwave's Avatar
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    about your first question
     <br /> <br />
sinA = \frac{y}{r}<br />

    this looks too much like what is given in text books where y is the sin
    x is cos then r is the radius or hypotenuse

    then cosA = \frac{x}{r} and etc

    just my take anyway.....

    does your text show this???
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