Find the Exact Value sin(64)

Problem

sin(64)

Solution

1. Identify the task as finding the exact trigonometric value of sin(64)

2. Determine if the angle 64 is a standard reference angle (such as 0,30,45,60,90.

3. Analyze the angle for potential sum, difference, or half-angle identities. While 64 = 60 + 4o*r4 = 32 \times 2,t*h*e*a*n*g*l*e^\circ$ and its multiples do not result in simple radical expressions commonly used in introductory trigonometry.

4. Conclude that without a specific context requiring complex nested radicals (derived from the pentadecagon or similar polygons), the exact value is typically represented as the expression itself or evaluated numerically.

Final Answer

sin(64)=sin(64)

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