Find the Exact Value sin(43)

Problem

sin(43)

Solution

1. Identify the nature of the angle. The angle 43 is not a standard reference angle (such as 0,30,45,60,90 for which exact values are typically expressed in simple radicals.

2. Determine if a trigonometric identity applies. While 43 can be expressed as 45−2 the exact value for sin(2) is not a simple algebraic number, meaning the result cannot be simplified into a standard radical form.

3. Conclude the exact representation. In trigonometry, if an angle does not correspond to a standard multiple of 3 or 1.5 that allows for radical expansion, the exact value is simply the expression itself.

Final Answer

sin(43)=sin(43)

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