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Simplify tan(53)

Problem

tan(53)

Solution

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

  2. Determine if the angle 53 is a standard reference angle (like 30 45 or 60. Since it is not, the expression cannot be simplified into a basic radical form.

  3. Approximate the value using a calculator if a decimal value is required, ensuring the calculator is set to degree mode.

  4. Conclude that the simplest exact form of the expression is the original trigonometric function itself.

Final Answer

tan(53)≈1.3270


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