Simplify cos(40)

Problem

cos(40^∘)

Solution

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

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

3. Conclude that since 40^∘ is not a standard reference angle, the expression cos(40^∘) is already in its simplest exact trigonometric form.

Final Answer

cos(40^∘)=cos(40^∘)

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