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受欢迎的三角函数 >

sin(x)=(-2)/3

解答

sin (x) = \frac{- 2}{3}

解答

x = - 0.72972 \dots + 2 πn, x = π + 0.72972 \dots + 2 πn

+1

度数

x = - 41.81031 \dots^{\circ} + 36 0^{\circ} n, x = 221.81031 \dots^{\circ} + 36 0^{\circ} n

求解步骤

sin (x) = \frac{- 2}{3}

使用分式法则:

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

sin (x) = - \frac{2}{3}

使用反三角函数性质

sin (x) = - \frac{2}{3}

sin (x) = - \frac{2}{3}

的通解

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

x = arcsin (- \frac{2}{3}) + 2 πn, x = π + arcsin (\frac{2}{3}) + 2 πn

x = arcsin (- \frac{2}{3}) + 2 πn, x = π + arcsin (\frac{2}{3}) + 2 πn

以小数形式表示解

x = - 0.72972 \dots + 2 πn, x = π + 0.72972 \dots + 2 πn

作图

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