# Math

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Suppose theta is an angle in standard position with terminal army in quadrant III and tan theta = 6/3. Determine the exact calues of the other two primary trigonometric rations.

In quardatn III, x is ______ and y is ________ (r is always positive).

I don't understand how to draw the triangle for reference.

Any help will be greatly appreciated. Thank you.

• Math -

(-6r)-5=7-12r

• Math -

tan = y/x

since both x and y are negative in QIII, then you must have

tan = 6/3 = -6/-3,
so y = -6 and x = -3
now, r = 3sqrt(5)

sin = y/r
cos = x/r

just plug and chug

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