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受欢迎的三角函数 >

6/5 arccos(y/6)=pi

解答

\frac{6}{5} arccos (\frac{y}{6}) = π

解答

y = - 33

求解步骤

\frac{6}{5} arccos (\frac{y}{6}) = π

在两边乘以

5

\frac{6}{5} arccos (\frac{y}{6}) = π

在两边乘以

5

5 \cdot \frac{6}{5} arccos (\frac{y}{6}) = 5 π

化简

6 arccos (\frac{y}{6}) = 5 π

6 arccos (\frac{y}{6}) = 5 π

两边除以

6

6 arccos (\frac{y}{6}) = 5 π

两边除以

6

\frac{6 arccos ( \frac{y}{6} )}{6} = \frac{5 π}{6}

化简

arccos (\frac{y}{6}) = \frac{5 π}{6}

arccos (\frac{y}{6}) = \frac{5 π}{6}

使用反三角函数性质

arccos (\frac{y}{6}) = \frac{5 π}{6}

arccos (x) = a \Rightarrow x = cos (a)

\frac{y}{6} = cos (\frac{5 π}{6})

cos (\frac{5 π}{6}) = - \frac{3}{2}

cos (\frac{5 π}{6})

使用以下普通恒等式:

cos (\frac{5 π}{6}) = - \frac{3}{2}

cos (\frac{5 π}{6})

cos (x)

周期表（周期为

2 πn

）：

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= - \frac{3}{2}

= - \frac{3}{2}

\frac{y}{6} = - \frac{3}{2}

\frac{y}{6} = - \frac{3}{2}

解

\frac{y}{6} = - \frac{3}{2} : y = - 33

\frac{y}{6} = - \frac{3}{2}

在两边乘以

6

\frac{y}{6} = - \frac{3}{2}

在两边乘以

6

\frac{6 y}{6} = 6 (- \frac{3}{2})

化简

\frac{6 y}{6} = 6 (- \frac{3}{2})

化简

\frac{6 y}{6} : y

\frac{6 y}{6}

数字相除:

\frac{6}{6} = 1

= y

化简

6 (- \frac{3}{2}) : - 33

6 (- \frac{3}{2})

去除括号:

(- a) = - a

= - 6 \cdot \frac{3}{2}

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{3 \cdot 6}{2}

数字相除:

\frac{6}{2} = 3

= - 33

y = - 33

y = - 33

y = - 33

y = - 33

作图

流行的例子

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