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受欢迎的三角函数 >

2sin(x+1.2)-4.22=-4

解答

2 sin (x + 1.2) - 4.22 = - 4

解答

x = 0.11022 \dots + 2 πn - 1.2, x = π - 0.11022 \dots + 2 πn - 1.2

+1

度数

x = - 62.43961 \dots^{\circ} + 36 0^{\circ} n, x = 104.92974 \dots^{\circ} + 36 0^{\circ} n

求解步骤

2 sin (x + 1.2) - 4.22 = - 4

将

4.22

到右边

2 sin (x + 1.2) - 4.22 = - 4

两边加上

4.22

2 sin (x + 1.2) - 4.22 + 4.22 = - 4 + 4.22

化简

2 sin (x + 1.2) = 0.22

2 sin (x + 1.2) = 0.22

两边除以

2

2 sin (x + 1.2) = 0.22

两边除以

2

\frac{2 sin ( x + 1.2 )}{2} = \frac{0.22}{2}

化简

sin (x + 1.2) = 0.11

sin (x + 1.2) = 0.11

使用反三角函数性质

sin (x + 1.2) = 0.11

sin (x + 1.2) = 0.11

的通解

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

x + 1.2 = arcsin (0.11) + 2 πn, x + 1.2 = π - arcsin (0.11) + 2 πn

x + 1.2 = arcsin (0.11) + 2 πn, x + 1.2 = π - arcsin (0.11) + 2 πn

解

x + 1.2 = arcsin (0.11) + 2 πn : x = arcsin (0.11) + 2 πn - 1.2

x + 1.2 = arcsin (0.11) + 2 πn

将

1.2

到右边

x + 1.2 = arcsin (0.11) + 2 πn

两边减去

1.2

x + 1.2 - 1.2 = arcsin (0.11) + 2 πn - 1.2

化简

x = arcsin (0.11) + 2 πn - 1.2

x = arcsin (0.11) + 2 πn - 1.2

解

x + 1.2 = π - arcsin (0.11) + 2 πn : x = π - arcsin (0.11) + 2 πn - 1.2

x + 1.2 = π - arcsin (0.11) + 2 πn

将

1.2

到右边

x + 1.2 = π - arcsin (0.11) + 2 πn

两边减去

1.2

x + 1.2 - 1.2 = π - arcsin (0.11) + 2 πn - 1.2

化简

x = π - arcsin (0.11) + 2 πn - 1.2

x = π - arcsin (0.11) + 2 πn - 1.2

x = arcsin (0.11) + 2 πn - 1.2, x = π - arcsin (0.11) + 2 πn - 1.2

以小数形式表示解

x = 0.11022 \dots + 2 πn - 1.2, x = π - 0.11022 \dots + 2 πn - 1.2

作图

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