簡約 e^{-pi*(0.29474)/(sqrt(1-0.29474^2))}

解

簡約

e^{- π \cdot \frac{0.29474}{1 - 0.2947 4 ^{2}}}

0.37946 \dots

解答ステップ

e^{- π \frac{0.29474}{1 - 0.2947 4 ^{2}}}

指数の規則を適用する:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{π \frac{0.29474}{1 - 0.2947 4 ^{2}}}}

1 - 0.2947 4^{2} = 0.9131283324

= \frac{1}{e ^{π \frac{0.29474}{0.9131283324}}}

e^{π \frac{0.29474}{0.9131283324}} = e^{0.96899 \dots}

= \frac{1}{e ^{0.96899 \dots}}

e^{0.96899 \dots} = 2.63530 \dots

= \frac{1}{2.63530 \dots}

数を割る:

\frac{1}{2.63530 \dots} = 0.37946 \dots

= 0.37946 \dots