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Math Help - Trig test tomorrow. please, please help!

  1. #1
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    Trig test tomorrow. please, please help!

    Ok, so I have a test tomorrow. My teacher is an Algebra teacher and doesn't really know how to explain Trig all that much, so all of us in her class are a little confused. I went in for help, and I really just don't understand any of it. It seems like I understand it more when someone else explains it, so if someone could help that'd be amazinggg.

    A: It says determine the coordinate point. I know that that means either (√2/2, √2/2), (1/2, √3/2), or (√3,2, 1/2) and I know that those coordinates corresponds to it being pi/3, pi/4 or pi/6 but how do I know if it's negative or positive and what quadrant it's in?

    B: How do you evaluate a trig function?
    Example: sin 7pi/2

    C: The question is find cotO, if cscO=6, with O in quadrant II
    Then it says for another similar question, csc^2 121^0 -cot^2 121^0

    D:Find the remaining trig functions given sinO = 1/√3 and cosO=5/√3
    (I do this like Pythagorean theorem right?)

    Thank you sooo much to whoever answers these. You can answer one or all of them, it doesn't matter. Any help I can get is amazing. Thank you
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  2. #2
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    OK

    A: It says determine the coordinate point. I know that that means either (√2/2, √2/2), (1/2, √3/2), or (√3,2, 1/2) and I know that those coordinates corresponds to it being pi/3, pi/4 or pi/6 but how do I know if it's negative or positive and what quadrant it's in?

    You have to understand what it means to take the sine value of an expression like \frac{\sqrt{2}}{2} If you draw the points in a cordinate system you will understand it.
    For example, evaluate the sin \frac{\sqrt{2}}{2}
    What are you doing? You are calculating the opposite/hypotenose. do you understand what the \sqrt2 part represents?
    Where can it be if it is positive/negative?

    B: How do you evaluate a trig function?
    Example: sin 7pi/2

    Remember one complete circle is 2\pi.
    7/2 = 3.5 and since sine function repeats itself after each circle that means you can substract one circle 2\pi. Leaving you with 1.5\pi

    C: The question is find cotO, if cscO=6, with O in quadrant II
    Then it says for another similar question, csc^2 121^0 -cot^2 121^0
    What do you mean (csc^2(121^0))?

    D:Find the remaining trig functions given sinO = 1/√3 and cosO=5/√3
    (I do this like Pythagorean theorem right?) are you sure you got everyting right on this one? Or.. are these sin0 and cos0 two different angles/questions?

    Any more specific questions just ask..good luck at your exam.
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  3. #3
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    Hi, thanks for replying

    A: I'm given a unit circle with the different coordinates on them. But since it only has things like pi/4, 2pi/3 and so on, im confused at how to find things like -13pi/6 and -15pi/3, the exact question was "determine the coordinate point at the indicated distances from A". I hope that makes a little more sense.

    B: that helps a lot! but how would that differer if it was tan, cos, sec, csc, or cot.

    C: Im not really sure. that's what the question says. it says Evalute. And the question just says: csc^2 121^0 - cot^2 121^0
    Im not really sure what it's asking me to do.

    D: they're dwo different angles, and I'm given a blank triangle to help, but it's all the same problem.

    Thank you
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