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 >

sin(3θ)=-1,0<= θ<= 360

解答

sin (3 θ) = - 1, 0^{\circ} \leq θ \leq 36 0^{\circ}

解答

θ = 9 0^{\circ}, θ = 21 0^{\circ}, θ = 33 0^{\circ}

+1

弧度

θ = \frac{π}{2}, θ = \frac{7 π}{6}, θ = \frac{11 π}{6}

求解步骤

sin (3 θ) = - 1, 0^{\circ} \leq θ \leq 36 0^{\circ}

sin (3 θ) = - 1

的通解

sin (x)

周期表（周期为

36 0^{\circ} n

"）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

3 θ = 27 0^{\circ} + 36 0^{\circ} n

3 θ = 27 0^{\circ} + 36 0^{\circ} n

解

3 θ = 27 0^{\circ} + 36 0^{\circ} n : θ = 9 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

3 θ = 27 0^{\circ} + 36 0^{\circ} n

两边除以

3

3 θ = 27 0^{\circ} + 36 0^{\circ} n

两边除以

3

\frac{3 θ}{3} = \frac{27 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

化简

\frac{3 θ}{3} = \frac{27 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

化简

\frac{3 θ}{3} : θ

\frac{3 θ}{3}

数字相除:

\frac{3}{3} = 1

= θ

化简

\frac{27 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3} : 9 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

\frac{27 0 ^{\circ}}{3} + \frac{36 0 ^{\circ} n}{3}

\frac{27 0 ^{\circ}}{3} = 9 0^{\circ}

\frac{27 0 ^{\circ}}{3}

使用分式法则:

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

= \frac{54 0 ^{\circ}}{2 \cdot 3}

数字相乘:

2 \cdot 3 = 6

= 9 0^{\circ}

约分:

3

= 9 0^{\circ}

= 9 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

θ = 9 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

θ = 9 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

θ = 9 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

θ = 9 0^{\circ} + \frac{36 0 ^{\circ} n}{3}

在

0 \leq θ \leq 36 0^{\circ}

范围内的解

θ = 9 0^{\circ}, θ = 21 0^{\circ}, θ = 33 0^{\circ}

作图

流行的例子

cos(x)-cos(3x)=-sin(x)

cos (x) - cos (3 x) = - sin (x)

cos (x) = 0.342

tan (θ) = 0.31

tan (θ) = 0.02

cos (x) = 0.123