Approximate-sin46-by-differentials-Mastermind-

Question Number 170995 by Mastermind last updated on 05/Jun/22

A p p r o x i m a t e s i n 46 ° b y “ {d i f f e r e n t i a l s}^{″}

M a s t e r m i n d

Commented by mr W last updated on 06/Jun/22

\sin 46 ° = \sin (\frac{π}{4} + \frac{π}{180})

\approx \sin \frac{π}{4} + \cos \frac{π}{4} \times \frac{π}{180}

= \frac{\sqrt{2}}{2} (1 + \frac{π}{180})

= \frac{(180 + π) \sqrt{2}}{360} \approx 0.719

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