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受欢迎的三角函数 >

cos(x)=(-1)/(sqrt(10))

解答

cos (x) = \frac{- 1}{10}

解答

x = 1.89254 \dots + 2 πn, x = - 1.89254 \dots + 2 πn

+1

弧度

x = 1.89254 \dots + 6.28318 \dots n, x = - 1.89254 \dots + 6.28318 \dots n

求解步骤

cos (x) = \frac{- 1}{10}

化简

\frac{- 1}{10} : - \frac{10}{10}

\frac{- 1}{10}

使用分式法则:

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

= - \frac{1}{10}

- \frac{1}{10}

有理化:

- \frac{10}{10}

- \frac{1}{10}

乘以共轭根式

\frac{10}{10}

= - \frac{1 \cdot 10}{10 10}

1 \cdot 10 = 10

1010 = 10

1010

使用根式运算法则:

a a = a

1010 = 10

= 10

= - \frac{10}{10}

= - \frac{10}{10}

cos (x) = - \frac{10}{10}

使用反三角函数性质

cos (x) = - \frac{10}{10}

cos (x) = - \frac{10}{10}

的通解

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

x = arccos (- \frac{10}{10}) + 2 πn, x = - arccos (- \frac{10}{10}) + 2 πn

x = arccos (- \frac{10}{10}) + 2 πn, x = - arccos (- \frac{10}{10}) + 2 πn

以小数形式表示解

x = 1.89254 \dots + 2 πn, x = - 1.89254 \dots + 2 πn

作图

流行的例子

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2 cos^{2} (x) = 1 + sin^{2} (x)

-sin(x)+sin^2(x)-cos^2(x)=0

- sin (x) + sin^{2} (x) - cos^{2} (x) = 0

- 1 + sin (x) = - 1

(sqrt(2))/2 =sin(θ)

\frac{2}{2} = sin (θ)

cos(a)=1,8b=1,5c=23

cos (a) = 1, 8 b = 1, 5 c = 23