Simplify 12*sin(43)

Problem

12*sin(43)

Solution

1. Identify the expression as a trigonometric product involving a constant and the sine of an angle.

2. Determine if the angle 43 is a standard reference angle (like 30 45 or 60. Since 43 is not a standard angle, the expression cannot be simplified further into an exact form using basic radicals.

3. Evaluate the numerical value if a decimal approximation is required. Using a calculator, sin(43)≈0.681998

4. Multiply the constant 12 by the approximate sine value.

12×0.681998≈8.18398

Final Answer

12*sin(43)≈8.18398

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