Simplify sec(x)sin(x)

Problem

sec(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)⋅sin(x)

3. Multiply the terms to combine them into a single fraction.

sin(x)/cos(x)

4. Apply the quotient identity for the tangent function.

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

Final Answer

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

Want more problems? Check here!