Simplify tan(x)sec(x)

Problem

tan(x)*sec(x)

Solution

1. Identify the trigonometric identities for the given functions in terms of sine and cosine.

2. Substitute the identity tan(x)=sin(x)/cos(x) into the expression.

3. Substitute the identity sec(x)=1/cos(x) into the expression.

4. Multiply the two fractions together by multiplying the numerators and the denominators.

5. Simplify the resulting expression to its final form.

Final Answer

tan(x)*sec(x)=sin(x)/cos2(x)

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