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受欢迎的三角函数 >

sin(2x+pi)=0

解答

sin (2 x + π) = 0

解答

x = πn - \frac{π}{2}, x = πn

+1

度数

x = - 9 0^{\circ} + 18 0^{\circ} n, x = 0^{\circ} + 18 0^{\circ} n

求解步骤

sin (2 x + π) = 0

sin (2 x + π) = 0

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}

2 x + π = 0 + 2 πn, 2 x + π = π + 2 πn

2 x + π = 0 + 2 πn, 2 x + π = π + 2 πn

解

2 x + π = 0 + 2 πn : x = πn - \frac{π}{2}

2 x + π = 0 + 2 πn

0 + 2 πn = 2 πn

2 x + π = 2 πn

将

π

到右边

2 x + π = 2 πn

两边减去

π

2 x + π - π = 2 πn - π

化简

2 x = 2 πn - π

2 x = 2 πn - π

两边除以

2

2 x = 2 πn - π

两边除以

2

\frac{2 x}{2} = \frac{2 πn}{2} - \frac{π}{2}

化简

x = πn - \frac{π}{2}

x = πn - \frac{π}{2}

解

2 x + π = π + 2 πn : x = πn

2 x + π = π + 2 πn

两边减去

π

2 x + π - π = π + 2 πn - π

化简

2 x = 2 πn

两边除以

2

2 x = 2 πn

两边除以

2

\frac{2 x}{2} = \frac{2 πn}{2}

化简

x = πn

x = πn

x = πn - \frac{π}{2}, x = πn

作图

流行的例子

sin(180/2-x)=0.8

sin (\frac{180}{2} - x) = 0.8

0 = 2 cos (3 x)

2 cos (3 x) = 0

16cos^2(θ)-2=0

16 cos^{2} (θ) - 2 = 0

2tan^2(θ)-5tan(θ)+4=-8tan(θ)+6

2 tan^{2} (θ) - 5 tan (θ) + 4 = - 8 tan (θ) + 6