Simplify tan(20)

Problem

tan(20)

Solution

1. Identify the expression as the tangent of an angle measured in degrees.

2. Determine if the angle is a standard reference angle. Since 20 is not one of the standard angles (like 0,30,45,60,90, it cannot be simplified into a basic radical form using standard unit circle values.

3. Check for trigonometric identities. While tan(20) can be expressed using the triple angle formula for tan(60) the resulting algebraic expression involves solving a cubic equation, which does not result in a simpler form.

4. Conclude that the expression is already in its simplest exact trigonometric form.

Final Answer

tan(20)=tan(20)

Want more problems? Check here!