Find the Exact Value sin(2.2)

Problem

sin(2.2)

Solution

1. Identify the input value as 2.2 radians. Since 2.2 is not a standard multiple of π (like π/6 π/4 or π/3, there is no simpler radical or integer expression for its exact value.

2. Recognize that in trigonometry, the "exact value" of a non-standard angle is typically represented by the function itself unless a numerical approximation is requested.

3. Determine the quadrant of the angle. Since π/2≈1.57 and π≈3.14 the angle 2.2 lies in the second quadrant, where the sine function is positive.

4. Conclude that the expression sin(2.2) is already in its simplest exact form.

Final Answer

sin(2.2)=sin(2.2)

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