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受欢迎的三角函数 >

30cos(30x)+14=-16

解答

30 cos (30 x) + 14 = - 16

解答

x = \frac{π}{30} + \frac{πn}{15}

+1

度数

x = 6^{\circ} + 1 2^{\circ} n

求解步骤

30 cos (30 x) + 14 = - 16

将

14

到右边

30 cos (30 x) + 14 = - 16

两边减去

14

30 cos (30 x) + 14 - 14 = - 16 - 14

化简

30 cos (30 x) = - 30

30 cos (30 x) = - 30

两边除以

30

30 cos (30 x) = - 30

两边除以

30

\frac{30 cos ( 30 x )}{30} = \frac{- 30}{30}

化简

cos (30 x) = - 1

cos (30 x) = - 1

cos (30 x) = - 1

的通解

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}

30 x = π + 2 πn

30 x = π + 2 πn

解

30 x = π + 2 πn : x = \frac{π}{30} + \frac{πn}{15}

30 x = π + 2 πn

两边除以

30

30 x = π + 2 πn

两边除以

30

\frac{30 x}{30} = \frac{π}{30} + \frac{2 πn}{30}

化简

x = \frac{π}{30} + \frac{πn}{15}

x = \frac{π}{30} + \frac{πn}{15}

x = \frac{π}{30} + \frac{πn}{15}

作图

流行的例子

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