Find the Exact Value tan(21)

Problem

tan(21)

Solution

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

2. Determine if the angle is a standard reference angle (like 30 45 or 60. Since 21 is not a standard angle or a simple sum/difference of standard angles that results in a basic radical form, the exact value is typically represented by the expression itself or through complex trigonometric identities.

3. Express the value in terms of its trigonometric definition if no further simplification into radicals is required by the context. In most mathematical contexts, tan(21) is already considered an exact value.

4. Relate to radians if necessary, where 21=(21*π)/180=(7*π)/60 radians.

Final Answer

tan(21)=tan(21)

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