Simplify cos(53)

Problem

cos(53^∘)

Solution

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

2. Determine if the angle is a standard angle (like 30^∘ 45^∘ or 60^∘ that has an exact radical form.

3. Recognize that 53^∘ is not a standard angle, though it is often used in physics as an approximation for a 3−4−5 right triangle where cos(53.13^∘)≈3/5

4. Conclude that without further context or a calculator, the expression cos(53^∘) is already in its simplest exact trigonometric form.

Final Answer

cos(53^∘)=cos(53^∘)

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