Simplifying the Expression -cot(u) + c: Understanding the Cotangent Function and Simplification Process

-cotu+c

To simplify the expression -cot(u) + c, we need to understand the inverse trigonometric function cotangent

To simplify the expression -cot(u) + c, we need to understand the inverse trigonometric function cotangent.

The cotangent function (cot) is the ratio of the adjacent side to the opposite side of a right triangle. It is defined as the reciprocal of the tangent function:
cot(u) = 1 / tan(u)

Now, let’s substitute this value in the expression:

-cot(u) + c = -1 / tan(u) + c

We can rewrite this expression by finding the common denominator between -1 and tan(u), which is 1.

To do this, we multiply -1 by tan(u) and divide tan(u) by itself, resulting in:

-cot(u) + c = -tan(u) / tan(u) + c

Simplifying the numerator:

-cot(u) + c = -tan(u) + c

So, the simplified expression becomes -tan(u) + c.

Keep in mind that this simplification assumes that u represents an angle. If u represents a variable or constant, then -tan(u) + c is the final expression.

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