Find the Exact Value sin(47 degrees )

Problem

sin(47^∘)

Solution

1. Identify the expression as the sine of an angle measured in degrees.

2. Determine if the angle is a standard reference angle (such as 0^∘ 30^∘ 45^∘ 60^∘ or 90^∘.

3. Recognize that 47^∘ is not a standard angle and cannot be expressed as a simple combination (sum or difference) of standard angles using integers.

4. Conclude that the exact value of sin(47^∘) cannot be simplified further into a basic radical form and is typically left as sin(47^∘) or expressed as cos(43^∘) using the cofunction identity.

Final Answer

sin(47^∘)=sin(47^∘)

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