Simplify (sin(x))/(cos(x)tan(x))

Problem

sin(x)/(cos(x)*tan(x))

Solution

1. Identify the trigonometric identity for the tangent function.

tan(x)=sin(x)/cos(x)

2. Substitute the identity into the denominator of the expression.

sin(x)/(cos(x)⋅sin(x)/cos(x))

3. Simplify the denominator by canceling the common factor of cos(x)

cos(x)⋅sin(x)/cos(x)=sin(x)

4. Divide the numerator by the simplified denominator.

sin(x)/sin(x)=1

Final Answer

sin(x)/(cos(x)*tan(x))=1

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