Simplify (sin(x)sec(x))/(tan(x))

Problem

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

Solution

1. Identify the trigonometric identities for the functions in the expression.

2. Substitute the identity sec(x)=1/cos(x) into the numerator.

(sin(x)⋅1/cos(x))/tan(x)

3. Simplify the numerator by combining the terms into a single fraction.

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

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

tan(x)/tan(x)

5. Divide the terms to reach the simplest form.

1

Final Answer

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

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