SOLUTION: find cos theta if cot theta is 4/3?

Question 1102586: find cos theta if cot theta is 4/3?
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!

Because and are positive,
the angle theta is in quadrant I
(an acute angle, or an angle coterminal with an acute angle),
or in quadrant III.
If must be an acute angle,
a tangent trigonometric ratio of
corresponds to an acute angle in a right triangle
with (opposite side)/(adjacent side)=3/4.
A right triangle with leg lengths 3 and 4,
has a hypotenuse of length .
With an opposite leg length of ,
and a hypotenuse leg length of ,
the .
That corresponds to
(or in radians).

If was an angle in quadrant III, such as ,
then it would be .

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