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人気のある三角関数 >

cosh(0.6)

解

cosh (0.6)

解

\frac{e ^{\frac{6}{5}} + 1}{2 e ^{\frac{3}{5}}}

+1

十進法表記

1.18546 \dots

解答ステップ

cosh (0.6)

= cosh (\frac{3}{5})

三角関数の公式を使用して書き換える:

\frac{e ^{\frac{6}{5}} + 1}{2 e ^{\frac{3}{5}}}

cosh (\frac{3}{5})

双曲線の公式を使用する:

cosh (x) = \frac{e ^{x} + e ^{- x}}{2}

= \frac{e ^{\frac{3}{5}} + e ^{- \frac{3}{5}}}{2}

\frac{e ^{\frac{3}{5}} + e ^{- \frac{3}{5}}}{2} = \frac{e ^{\frac{6}{5}} + 1}{2 e ^{\frac{3}{5}}}

\frac{e ^{\frac{3}{5}} + e ^{- \frac{3}{5}}}{2}

指数の規則を適用する:

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

= \frac{e ^{\frac{3}{5}} + \frac{1}{e ^{\frac{3}{5}}}}{2}

結合

e^{\frac{3}{5}} + \frac{1}{e ^{\frac{3}{5}}} : \frac{e ^{\frac{6}{5}} + 1}{e ^{\frac{3}{5}}}

e^{\frac{3}{5}} + \frac{1}{e ^{\frac{3}{5}}}

元を分数に変換する:

e^{\frac{3}{5}} = \frac{e ^{\frac{3}{5}} e ^{\frac{3}{5}}}{e ^{\frac{3}{5}}}

= \frac{e ^{\frac{3}{5}} e ^{\frac{3}{5}}}{e ^{\frac{3}{5}}} + \frac{1}{e ^{\frac{3}{5}}}

分母が等しいので, 分数を組み合わせる:

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{e ^{\frac{3}{5}} e ^{\frac{3}{5}} + 1}{e ^{\frac{3}{5}}}

e^{\frac{3}{5}} e^{\frac{3}{5}} + 1 = e^{2 \cdot \frac{3}{5}} + 1

e^{\frac{3}{5}} e^{\frac{3}{5}} + 1

e^{\frac{3}{5}} e^{\frac{3}{5}} = e^{2 \cdot \frac{3}{5}}

e^{\frac{3}{5}} e^{\frac{3}{5}}

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

e^{\frac{3}{5}} e^{\frac{3}{5}} = e^{\frac{3}{5} + \frac{3}{5}}

= e^{\frac{3}{5} + \frac{3}{5}}

類似した元を足す:

\frac{3}{5} + \frac{3}{5} = 2 \cdot \frac{3}{5}

= e^{2 \cdot \frac{3}{5}}

= e^{2 \cdot \frac{3}{5}} + 1

= \frac{e ^{2 \cdot \frac{3}{5}} + 1}{e ^{\frac{3}{5}}}

乗じる

2 \cdot \frac{3}{5} : \frac{6}{5}

2 \cdot \frac{3}{5}

分数を乗じる:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{3 \cdot 2}{5}

数を乗じる:

3 \cdot 2 = 6

= \frac{6}{5}

= \frac{e ^{\frac{6}{5}} + 1}{e ^{\frac{3}{5}}}

= \frac{\frac{e ^{\frac{6}{5}} + 1}{e ^{\frac{3}{5}}}}{2}

分数の規則を適用する:

\frac{\frac{b}{c}}{a} = \frac{b}{c \cdot a}

= \frac{e ^{\frac{6}{5}} + 1}{e ^{\frac{3}{5}} \cdot 2}

= \frac{e ^{\frac{6}{5}} + 1}{2 e ^{\frac{3}{5}}}

= \frac{e ^{\frac{6}{5}} + 1}{2 e ^{\frac{3}{5}}}

人気の例

2 sec (4 5^{\circ})

(sec(79.36))(sin(79.36))-(tan(79.36))

(sec (79.3 6^{\circ})) (sin (79.3 6^{\circ})) - (tan (79.3 6^{\circ}))

sec^{5} (0)

-sin(pi/6)-cos(pi/6+pi/6)

- sin (\frac{π}{6}) - cos (\frac{π}{6} + \frac{π}{6})

- 2 cos (- 1)