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受欢迎的三角函数 >

4sinh(x^3)=0

解答

4 sinh (x^{3}) = 0

解答

x = 0

+1

度数

x = 0^{\circ}

求解步骤

4 sinh (x^{3}) = 0

使用三角恒等式改写

4 sinh (x^{3}) = 0

使用双曲函数恒等式:

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

4 \cdot \frac{e ^{x^{3}} - e ^{- x^{3}}}{2} = 0

4 \cdot \frac{e ^{x^{3}} - e ^{- x^{3}}}{2} = 0

4 \cdot \frac{e ^{x^{3}} - e ^{- x^{3}}}{2} = 0 : x = 0

4 \cdot \frac{e ^{x^{3}} - e ^{- x^{3}}}{2} = 0

使用零因数法则： If

ab = 0

then

a = 0

or

b = 0

\frac{e ^{x^{3}} - e ^{- x^{3}}}{2} = 0

解

\frac{e ^{x^{3}} - e ^{- x^{3}}}{2} = 0 : x = 0

\frac{e ^{x^{3}} - e ^{- x^{3}}}{2} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

e^{x^{3}} - e^{- x^{3}} = 0

两边加上

e^{- x^{3}}

e^{x^{3}} - e^{- x^{3}} + e^{- x^{3}} = 0 + e^{- x^{3}}

化简

e^{x^{3}} = e^{- x^{3}}

使用指数运算法则

e^{x^{3}} = e^{- x^{3}}

若

a^{f (x)} = a^{g (x)}

，则

f (x) = g (x)

x^{3} = - x^{3}

x^{3} = - x^{3}

解

x^{3} = - x^{3} : x = 0

x^{3} = - x^{3}

将

x^{3}

para o lado esquerdo

x^{3} = - x^{3}

两边加上

x^{3}

x^{3} + x^{3} = - x^{3} + x^{3}

化简

2 x^{3} = 0

2 x^{3} = 0

两边除以

2

2 x^{3} = 0

两边除以

2

2 x^{3} = 0

两边除以

2

\frac{2 x ^{3}}{2} = \frac{0}{2}

化简

x^{3} = 0

x^{3} = 0

使用法则

x^{n} = 0 \Rightarrow x = 0

x = 0

x = 0

x = 0

x = 0

作图

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5 sin (x) - 1 = 3 sin (x)

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