Find the Exact Value cos(25)

Problem

cos(25)

Solution

1. Identify the task as finding the exact trigonometric value of cos(25)

2. Determine if the angle is a standard angle or a multiple of standard angles (like 30 45 or 60.

3. Recognize that 25 is not a standard angle and cannot be expressed as a simple sum or difference of standard angles using integers.

4. Conclude that while cos(25) can be expressed using radicals through the triple-angle formula for 75 or other complex methods, it does not have a simplified "exact value" form commonly used in introductory trigonometry.

5. State the value in its simplest exact form, which is the expression itself.

Final Answer

cos(25)=cos(25)

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