Simplify 1+cot(x)

Problem

1+cot(x)

Solution

1. Identify the trigonometric identity for the cotangent function.

cot(x)=cos(x)/sin(x)

2. Substitute the identity into the original expression.

1+cos(x)/sin(x)

3. Find a common denominator to combine the terms.

sin(x)/sin(x)+cos(x)/sin(x)

4. Combine the numerators over the common denominator.

(sin(x)+cos(x))/sin(x)

Final Answer

1+cot(x)=(sin(x)+cos(x))/sin(x)

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