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

Problem

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

Solution

1. Identify the trigonometric identity for the secant function.

sec(x)=1/cos(x)

2. Substitute the identity into the original expression.

sin(x)*cos(x)⋅1/cos(x)

3. Cancel the common factor of cos(x) from the numerator and the denominator.

sin(x)⋅1

4. Simplify the remaining expression.

sin(x)

Final Answer

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

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