Find the Exact Value cos(47)

Problem

cos(47^∘)

Solution

1. Identify the task as finding the exact trigonometric value of cos(47^∘)

2. Determine if the angle 47^∘ is a standard angle or a sum/difference of standard angles (such as 30^∘ 45^∘ 60^∘.

3. Conclude that 47^∘ is not a standard angle and cannot be expressed as a simple combination of standard angles using sum, difference, half-angle, or double-angle identities.

4. State that without a specific identity or approximation method (like Taylor series), the expression cos(47^∘) is already in its simplest exact form.

Final Answer

cos(47^∘)=cos(47^∘)

Want more problems? Check here!