# If `costheta = 2/3`  and `270^o lt thetalt 360^o` , then determine the exact value of `1/cot theta` . special triangles.

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Note that a cosine function is the ratio of the side adjacent to the given angle to the hypotenuse of the triangle.

`cos theta = (adjacent side)/(hypoten u se)`

And the given value of cos theta is:

`cos theta = 2/3`

Base on this, the length of the side adjacent to theta is 2 units and the hypotenuse is 3 units.

In order to solve the value of 1/(cot theta), the length of the side opposite to theta must be determined....

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