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受欢迎的三角函数 >

2sin(x)=-0.684

解答

2 sin (x) = - 0.684

解答

x = - 0.34904 \dots + 2 πn, x = π + 0.34904 \dots + 2 πn

+1

度数

x = - 19.99877 \dots^{\circ} + 36 0^{\circ} n, x = 199.99877 \dots^{\circ} + 36 0^{\circ} n

求解步骤

2 sin (x) = - 0.684

两边除以

2

2 sin (x) = - 0.684

两边除以

2

\frac{2 sin ( x )}{2} = \frac{- 0.684}{2}

化简

\frac{2 sin ( x )}{2} = \frac{- 0.684}{2}

化简

\frac{2 sin ( x )}{2} : sin (x)

\frac{2 sin ( x )}{2}

数字相除:

\frac{2}{2} = 1

= sin (x)

化简

\frac{- 0.684}{2} : - 0.342

\frac{- 0.684}{2}

使用分式法则:

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

= - \frac{0.684}{2}

数字相除:

\frac{0.684}{2} = 0.342

= - 0.342

sin (x) = - 0.342

sin (x) = - 0.342

sin (x) = - 0.342

使用反三角函数性质

sin (x) = - 0.342

sin (x) = - 0.342

的通解

sin (x) = - a \Rightarrow x = arcsin (- a) + 2 πn, x = π + arcsin (a) + 2 πn

x = arcsin (- 0.342) + 2 πn, x = π + arcsin (0.342) + 2 πn

x = arcsin (- 0.342) + 2 πn, x = π + arcsin (0.342) + 2 πn

以小数形式表示解

x = - 0.34904 \dots + 2 πn, x = π + 0.34904 \dots + 2 πn

作图

流行的例子

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tan (x - 6 0^{\circ}) = - 1.26

3 sec (x) = - 5

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tan (3 x - 10) = cot (2 x - 40)

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