Simplify csc(x)sin(x)

Problem

csc(x)*sin(x)

Solution

1. Identify the trigonometric identity for the cosecant function.

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

1/sin(x)⋅sin(x)

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

sin(x)/sin(x)=1

Final Answer

csc(x)*sin(x)=1

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