Simplify 1/(csc(x))

Problem

1/csc(x)

Solution

1. Identify the definition of the cosecant function in terms of the sine function.

csc(x)=1/sin(x)

2. Substitute the definition into the denominator of the original expression.

1/1/sin(x)

3. Simplify the complex fraction by multiplying the numerator by the reciprocal of the denominator.

1⋅sin(x)

4. Result the final simplified form.

sin(x)

Final Answer

1/csc(x)=sin(x)

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