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受欢迎的三角函数 >

-8sin(8x)=0

解答

- 8 sin (8 x) = 0

解答

x = \frac{πn}{4}, x = \frac{π}{8} + \frac{πn}{4}

+1

度数

x = 0^{\circ} + 4 5^{\circ} n, x = 22. 5^{\circ} + 4 5^{\circ} n

求解步骤

- 8 sin (8 x) = 0

两边除以

- 8

- 8 sin (8 x) = 0

两边除以

- 8

\frac{- 8 sin ( 8 x )}{- 8} = \frac{0}{- 8}

化简

sin (8 x) = 0

sin (8 x) = 0

sin (8 x) = 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}

8 x = 0 + 2 πn, 8 x = π + 2 πn

8 x = 0 + 2 πn, 8 x = π + 2 πn

解

8 x = 0 + 2 πn : x = \frac{πn}{4}

8 x = 0 + 2 πn

0 + 2 πn = 2 πn

8 x = 2 πn

两边除以

8

8 x = 2 πn

两边除以

8

\frac{8 x}{8} = \frac{2 πn}{8}

化简

x = \frac{πn}{4}

x = \frac{πn}{4}

解

8 x = π + 2 πn : x = \frac{π}{8} + \frac{πn}{4}

8 x = π + 2 πn

两边除以

8

8 x = π + 2 πn

两边除以

8

\frac{8 x}{8} = \frac{π}{8} + \frac{2 πn}{8}

化简

x = \frac{π}{8} + \frac{πn}{4}

x = \frac{π}{8} + \frac{πn}{4}

x = \frac{πn}{4}, x = \frac{π}{8} + \frac{πn}{4}

作图

流行的例子

sin (θ) = - \frac{7}{25}

cos(θ/2)=-(sqrt(3))/2

cos (\frac{θ}{2}) = - \frac{3}{2}

2sin^2(x)=-sin(x)

2 sin^{2} (x) = - sin (x)

sqrt(3)sec(θ)=2

3 sec (θ) = 2

cosh (x) = - 1