Provide an Appropriate Response $x$ Can $\cos x$ Be Replaced By $1 - \frac { x ^ { 2 } } { 2 }$

question 463

Multiple Choice

Provide an appropriate response.
-For approximately what values of $x$ can $\cos x$ be replaced by $1 - \frac { x ^ { 2 } } { 2 }$ with an error of magnitude no greater than $5 \times 10 ^ { - 6 } ?$

• A) \(| x | < 0.10466\)
• B) \(| x | < 0.07401\)
• C) \(| x | < 0.03107\)
• D) \(| x | < 0.04932\)

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