Question

\( \sin\left( \sin 5 \right) = x^2 - 4x \) holds if

• A. \( x = -2 \pm \sqrt{9 - 2\pi} \)
• B. \( x = 2 \pm \sqrt{9 - 2\pi} \)
• C. \( x>2 + \sqrt{9 - 2\pi} \)
• D. \( x<2 + \sqrt{9 - 2\pi} \)

Hint:

When solving trigonometric equations, carefully isolate the variable and solve using algebraic techniques.

Answer 1

The Correct Option is B

Step 1: Solve for \( x \).
First, simplify the equation by isolating \( x \). The result of the trigonometric equation leads to the correct solution.
Step 2: Conclusion.
Thus, the correct value of \( x \) is \( x = 2 \pm \sqrt{9 - 2\pi} \).
Final Answer: \[ \boxed{x = 2 \pm \sqrt{9 - 2\pi}} \]