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Start with the given expression.
Rewrite the cotangent in terms of tangent.
Use the identity
to rewrite the expression.
Rewrite the tangent function in terms of sine and cosine.
Multiply -1 by the reciprocal of the dividing fraction.
Now, let's reference the unit circle
From the unit circle, we can see that at the angle
, there is a point on the unit circle
. So this tells us that
So this means that
Multiply the first fraction by the reciprocal of the second fraction.
Cancel like terms.
Multiply and simplify.