Trig

The point (1/3,1/4) lies on the terminal side of an angle.
Find the exact value of the six trig functions, and explain which functions are reciprocal functions to each other.

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  1. Recall that
    sinθ = y/r
    cosθ = x/r
    tanθ = y/x
    and the others are their reciprocals.
    So, since
    x = 1/3 = 4/12
    y = 1/4 = 3/12
    You have the makings of a 3-4-5 triangle, with r = 5/12
    Now you can just read off the functions
    sinθ = 4/5
    cosθ = 3/5
    tanθ = 3/4
    and so on...

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