Simplify sec(x)cos(x)sin(x)

Problem

sec(x)*cos(x)*sin(x)

Solution

1. Identify the trigonometric identity for the secant function.

sec(x)=1/cos(x)

2. Substitute the identity into the original expression.

1/cos(x)⋅cos(x)⋅sin(x)

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

cos(x)/cos(x)⋅sin(x)

4. Reduce the fraction to its simplest form.

1⋅sin(x)

Final Answer

sec(x)*cos(x)*sin(x)=sin(x)

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