Question: Use Newton's method to solve the equation 0 = 1/2 + 1/4 x2 x sin x - 1/2cos 2x, with p0 = /2. Iterate

Use Newton's method to solve the equation 0 = 1/2 + 1/4 x2 − x sin x - 1/2cos 2x, with p0 = π/2.
Iterate using Newton's method until an accuracy of 10−5 is obtained. Explain why the result seems unusual for Newton's method. Also, solve the equation with p0 = 5π and p0 = 10π.

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