SOLUTION: Is there any good way to memorize the trig value? How do I prepare for the speed quiz? Please let me know if there is any advice. Thanks.

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Edwin

1.  Is there any good way to memorize the trig value?  -  YES, it is.


2.  How do I prepare for the speed quiz?


    a)  The very first you need to do is to imagine the unit circle before your eyes with the radius-vector drawn to the given angle.


    b)  Second thing you MUST to know is that the cosine is the x-coordinate of the vector 
            (in other words, is the projection of the vector to the x-axis), 

        while the sine is the y-coordinate of the vector 
            (in other words, is the projection of the vector to the y-axis).


    c)  If you know it, then you know that sin(0°) = 0, sin(90°) = 1, sin(180°) = 0, sin(270°) = -1.

        You just do not need to memorize it: if you know n.b) - then you know it.


        The same is for cosine.


    d)  Third thing you need to know is  sin(45°) = cos(45°) = .

        Everybody knows it  (even the idiots).

        If you know it and know n.b), then you know that sin(135°) has the same value, while cos(135°) is just .


    e)  cos(30°) = , sin(30°) = .

        This is the ONLY thing to memorize. 


        Q-o-o !!  To not forget !   cos(60°) = , sin(60°) = .



    f)  The last thing you must to know is that  tan = sin/cos and cotan = cos/sin.


    g)  If you are going to be a cosmonaut and/or work for NASA, you can learn that sec = 1/cos and cosec = 1/sin

        ( but it is just useless knowledge (joke) )

    To speak more seriously, learning of values of trigonometric functions is similar to learning play piano.


    The secret it simple: you must exercise again and again to play well !!