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Step 1:I'll solve this step-by-step using precise LaTeX formatting:
Step 2:: Recall the unit circle coordinates for 60∘
• It corresponds to $$rac{\pi}{3}$$ radians
• 60∘ is a special angle in the unit circle • The cosine of this angle has a standard value
Step 3:: Determine the cosine value
• The x-coordinate at 60∘ is exactly $$rac{1}{2}
• This can be derived from the unit circle coordinates
Step 4:: Verify the result
• $$cos(60^{\circ}) = rac{1}{2}
• This is a standard trigonometric value that can be memorized or derived from geometric principles
Final Answer
Key Insight: For special angles like 30∘, 45∘, 60∘, and 90∘, it's helpful to memorize their standard trigonometric values in the unit circle.
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