Simplify sin(x)csc(x)

Problem

sin(x)*csc(x)

Solution

1. Identify the trigonometric identity for the cosecant function.

2. Substitute the reciprocal identity csc(x)=1/sin(x) into the expression.

sin(x)⋅1/sin(x)

3. Simplify the expression by canceling the common factor of sin(x) in the numerator and the denominator.

sin(x)/sin(x)=1

Final Answer

sin(x)*csc(x)=1

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