zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的三角函数 >

1.812=316cos(1.496x)+1.496

解答

1.812 = 316 \cdot cos (1.496 \cdot x) + 1.496

解答

x = \frac{1.56979 \dots}{1.496} + \frac{2 πn}{1.496}, x = \frac{2 π}{1.496} - \frac{1.56979 \dots}{1.496} + \frac{2 πn}{1.496}

+1

度数

x = 60.12212 \dots^{\circ} + 240.64171 \dots^{\circ} n, x = 180.51958 \dots^{\circ} + 240.64171 \dots^{\circ} n

求解步骤

1.812 = 316 cos (1.496 x) + 1.496

交换两边

316 cos (1.496 x) + 1.496 = 1.812

将

1.496

到右边

316 cos (1.496 x) + 1.496 = 1.812

两边减去

1.496

316 cos (1.496 x) + 1.496 - 1.496 = 1.812 - 1.496

化简

316 cos (1.496 x) = 0.316

316 cos (1.496 x) = 0.316

两边除以

316

316 cos (1.496 x) = 0.316

两边除以

316

\frac{316 cos ( 1.496 x )}{316} = \frac{0.316}{316}

化简

cos (1.496 x) = 0.001

cos (1.496 x) = 0.001

使用反三角函数性质

cos (1.496 x) = 0.001

cos (1.496 x) = 0.001

的通解

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

1.496 x = arccos (0.001) + 2 πn, 1.496 x = 2 π - arccos (0.001) + 2 πn

1.496 x = arccos (0.001) + 2 πn, 1.496 x = 2 π - arccos (0.001) + 2 πn

解

1.496 x = arccos (0.001) + 2 πn : x = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

1.496 x = arccos (0.001) + 2 πn

两边除以

1.496

1.496 x = arccos (0.001) + 2 πn

两边除以

1.496

\frac{1.496 x}{1.496} = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

化简

x = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

x = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

解

1.496 x = 2 π - arccos (0.001) + 2 πn : x = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

1.496 x = 2 π - arccos (0.001) + 2 πn

两边除以

1.496

1.496 x = 2 π - arccos (0.001) + 2 πn

两边除以

1.496

\frac{1.496 x}{1.496} = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

化简

x = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

x = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

x = \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}, x = \frac{2 π}{1.496} - \frac{arccos ( 0.001 )}{1.496} + \frac{2 πn}{1.496}

以小数形式表示解

x = \frac{1.56979 \dots}{1.496} + \frac{2 πn}{1.496}, x = \frac{2 π}{1.496} - \frac{1.56979 \dots}{1.496} + \frac{2 πn}{1.496}

作图

流行的例子

solvefor t,cos(wt+d)=0

so l v e f or t, cos (wt + d) = 0

sin(θ)=sqrt(3)cos(θ),0<= θ<2pi

sin (θ) = 3 cos (θ), 0 \leq θ < 2 π

cos(2x)-1/3 cos(x)=0

cos (2 x) - \frac{1}{3} cos (x) = 0

sqrt(3)=2sqrt(3)sin(x)

3 = 23 sin (x)

8 cos (6 x) = 2