Solve the Problem $x$ Can We Replace $\cos x$ By $1 - \frac { x ^ { 2 } } { 2 }$

question 330

Multiple Choice

Solve the problem.
-For what values of $x$ can we replace $\cos x$ by $1 - \frac { x ^ { 2 } } { 2 }$ with an error of magnitude no greater than $4 \times 10 ^ { - 3 }$ ?

• A) \(- 0.356 \leq x \leq 0.356\)
• B) \(- 0.288 \leq x \leq 0.288\)
• C) \(- 0.557 \leq x \leq 0.557\)
• D) \(- 0.458 \leq x \leq 0.458\)

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