Simplify 1/(sin(x)^2)

Problem

1/sin2(x)

Solution

1. Identify the reciprocal trigonometric identity for the sine function.

2. Recall that the cosecant function is defined as the reciprocal of the sine function.

csc(x)=1/sin(x)

3. Apply the power to the identity to match the given expression.

csc2(x)=(1/sin(x))2

4. Simplify the expression by substituting the identity.

1/sin2(x)=csc2(x)

Final Answer

1/sin2(x)=csc2(x)

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