Use the Maclaurin Series For $f(x)=\sin (4 x)$ To Find the Maclaurin Series For

question 16

Multiple Choice

Use the Maclaurin series for $f(x) =\sin (4 x)$ to find the Maclaurin series for $f(x) =\cos (4 x)$ .

• A) \(4 x-\frac{4^{3} x^{3}}{3 !}+\frac{4^{5} x^{5}}{5 !}-\cdots\)
• B) \(1-\frac{4^{2} x^{2}}{2 !}+\frac{4^{4} x^{4}}{4 !}-\cdots\)
• C) \(x-\frac{4^{2} x^{3}}{3 !}+\frac{4^{4} x^{5}}{5 !}-\cdots\)
• D) \(4 x-\frac{4^{2} x^{2}}{2 !}+\frac{4^{3} x^{3}}{3 !}-\cdots\)

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