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受欢迎的三角函数 >

6sin(x)+3=0

解答

6 sin (x) + 3 = 0

解答

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

+1

度数

x = 21 0^{\circ} + 36 0^{\circ} n, x = 33 0^{\circ} + 36 0^{\circ} n

求解步骤

6 sin (x) + 3 = 0

将

3

到右边

6 sin (x) + 3 = 0

两边减去

3

6 sin (x) + 3 - 3 = 0 - 3

化简

6 sin (x) = - 3

6 sin (x) = - 3

两边除以

6

6 sin (x) = - 3

两边除以

6

\frac{6 sin ( x )}{6} = \frac{- 3}{6}

化简

\frac{6 sin ( x )}{6} = \frac{- 3}{6}

化简

\frac{6 sin ( x )}{6} : sin (x)

\frac{6 sin ( x )}{6}

数字相除:

\frac{6}{6} = 1

= sin (x)

化简

\frac{- 3}{6} : - \frac{1}{2}

\frac{- 3}{6}

使用分式法则:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{3}{6}

约分:

3

= - \frac{1}{2}

sin (x) = - \frac{1}{2}

sin (x) = - \frac{1}{2}

sin (x) = - \frac{1}{2}

sin (x) = - \frac{1}{2}

的通解

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

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

x = \frac{7 π}{6} + 2 πn, x = \frac{11 π}{6} + 2 πn

作图

流行的例子

2cos(x)=2cos(3x)

2 cos (x) = 2 cos (3 x)

8cos^2(x)-2cos(x)-1=0

8 cos^{2} (x) - 2 cos (x) - 1 = 0

3sin(x)=2tan(x)

3 sin (x) = 2 tan (x)

cos^2(x)+2cos(x)=0

cos^{2} (x) + 2 cos (x) = 0

2sin(x)=tan(2x)

2 sin (x) = tan (2 x)