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Math Help - Trigonometric Ratios and and Special Angles

  1. #1
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    Trigonometric Ratios and and Special Angles

    Use the unit circle to determine exact values of the primary trigonometric ratios for each angle

    A) (3pi)/2 B) pi

    I dunno wth is going on, but those don't give me a special triangle, can someone explain this? Also, how do I put my math in math form?

    Thanks in advance
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  2. #2
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    Quote Originally Posted by darksoulzero View Post
    Use the unit circle to determine exact values of the primary trigonometric ratios for each angle

    A) (3pi)/2 B) pi

    I dunno wth is going on, but those don't give me a special triangle, can someone explain this? Also, how do I put my math in math form?

    Thanks in advance
    ok so it is asking for you to find sine cosine tangent cotangent etc. for these two places on the unit circle. <as i understand your question>
    so we know that the cosine is the best friend of the x part of a coordinate of a point on the unit circle and that the sine is the best friend of the y part of a coordinated of a point on the unit circle so if a point were to be on the x axis and be (1,0) the cosine of that point (which is technically called 2 pi ) would be 1 and the sine would be 0.

    using the unit circle we know a few things such as that the positive side of the x axis can be called zero or 2 pi or any multiple thereof, the pos y axis is called (1/2)pi, neg x is called pi, neg y is called (3/2) pi.

    from there using the x and y coordinates for cosine and sine and using the trig identities such as tan=sine/cosine to find out the rest

    (keep in mind the coordinates for those four either have to be (1,0) (0,1) (-1,0) (0,-1) going counter-clockwise from the pos x axis)
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  3. #3
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    But wait a minute, how is it possible to have a sin or cos of a straight line? That is, if a point P is placed on the unit circle with a set of coordinates of (1,0) how can it have an angle if it's just a line?
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  4. #4
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    Quote Originally Posted by darksoulzero View Post
    But wait a minute, how is it possible to have a sin or cos of a straight line? That is, if a point P is placed on the unit circle with a set of coordinates of (1,0) how can it have an angle if it's just a line?
    It's an angle of 0 degrees. For instance, take a point on the right side of the graph on the x axis at 0,1. The hypotenuse is 1, the adjacent side is 1 (they're both the same thing), and the opposite side is 0. thus sin = 0/1, cos = 1/1, tan = 0/1, csc = 1/0 (undefined), sec = 1/1, and cot = 1/0 (undefined).
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