EasyCalculus & Linear AlgebraAcceptance 84%

Approximate cos(0.1)

Jane StreetOptiver

Using the Taylor expansion cos⁡x≈1−x2/2\cos x \approx 1 - x^2/2, approximate cos⁡(0.1)\cos(0.1). (Round to 3 decimals.)

Approach

Plug x = 0.1 into 1 − x²/2.

Answer

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