Find the Exact Value cos(50)

Problem

cos(50)

Solution

1. Identify the task as finding the exact trigonometric value of cos(50)

2. Determine if the angle is a standard reference angle. The standard angles in trigonometry are 0 30 45 60 and 90

3. Analyze the angle 50 This angle is not a standard reference angle, nor can it be expressed as a simple sum or difference of standard angles (like 15=45−30 that results in a simple radical form.

4. Conclude that the exact value of cos(50) cannot be simplified into basic radicals or integers. It is typically left in its trigonometric form or expressed using a power series or complex exponentials.

Final Answer

cos(50)=cos(50)

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