Find the Exact Value cos(33)

Problem

cos(33^∘)

Solution

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

2. Determine if the angle is a standard reference angle (such as 0^∘ 30^∘ 45^∘ 60^∘ or 90^∘.

3. Recognize that 33^∘ is not a standard angle and cannot be easily expressed using simple radicals through standard sum, difference, or half-angle formulas involving integers.

4. Conclude that the exact value is typically represented by the expression itself unless using complex trigonometric constants or power series.

Final Answer

cos(33^∘)=cos(33^∘)

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