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受欢迎的三角函数 >

cos(x)= 1/(sqrt(3))

解答

cos (x) = \frac{1}{3}

解答

x = 0.95531 \dots + 2 πn, x = 2 π - 0.95531 \dots + 2 πn

+1

弧度

x = 0.95531 \dots + 6.28318 \dots n, x = 5.32786 \dots + 6.28318 \dots n

求解步骤

cos (x) = \frac{1}{3}

化简

\frac{1}{3} : \frac{3}{3}

\frac{1}{3}

乘以共轭根式

\frac{3}{3}

= \frac{1 \cdot 3}{3 3}

1 \cdot 3 = 3

33 = 3

33

使用根式运算法则:

a a = a

33 = 3

= 3

= \frac{3}{3}

cos (x) = \frac{3}{3}

使用反三角函数性质

cos (x) = \frac{3}{3}

cos (x) = \frac{3}{3}

的通解

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

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

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

以小数形式表示解

x = 0.95531 \dots + 2 πn, x = 2 π - 0.95531 \dots + 2 πn

作图

流行的例子

sin(x)cos(x)=(sqrt(3))/4 ,0<= x<= 2pi

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