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)

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