Chapter 11.3, Problem 83E

(a)

To determine

To show: The Maclaurian series for ${\sin }^{2}x$ can be found by squaring the Maclaurian series for $\sin x$.

(b)

To determine

To show: The Maclaurian series for ${\sin }^{2}x$ can be found by using the identity. ${\sin }^{2}x=\frac{\left(1-\cos 2x\right)}{2}$.

(c)

To determine

To show: The Maclaurian series for ${\sin }^{2}x$ can be found by computing the coefficients using the definition.