Solve for x y=sec(x)tan(x)

Problem

y=sec(x)*tan(x)

Solution

1. Identify the expression as a product of two trigonometric functions, sec(x) and tan(x)

2. Apply the definitions of the functions in terms of sine and cosine to simplify if necessary.

3. Recall that sec(x)=1/cos(x) and tan(x)=sin(x)/cos(x)

4. Substitute these definitions into the original equation.

5. Multiply the fractions to combine the terms into a single expression.

Final Answer

y=sin(x)/cos2(x)

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