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受欢迎的三角函数 >

-sin(4x)=0

解答

- sin (4 x) = 0

解答

x = \frac{πn}{2}, x = \frac{π}{4} + \frac{πn}{2}

+1

度数

x = 0^{\circ} + 9 0^{\circ} n, x = 4 5^{\circ} + 9 0^{\circ} n

求解步骤

- sin (4 x) = 0

两边除以

- 1

- sin (4 x) = 0

两边除以

- 1

\frac{- sin ( 4 x )}{- 1} = \frac{0}{- 1}

化简

sin (4 x) = 0

sin (4 x) = 0

sin (4 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}

4 x = 0 + 2 πn, 4 x = π + 2 πn

4 x = 0 + 2 πn, 4 x = π + 2 πn

解

4 x = 0 + 2 πn : x = \frac{πn}{2}

4 x = 0 + 2 πn

0 + 2 πn = 2 πn

4 x = 2 πn

两边除以

4

4 x = 2 πn

两边除以

4

\frac{4 x}{4} = \frac{2 πn}{4}

化简

x = \frac{πn}{2}

x = \frac{πn}{2}

解

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

4 x = π + 2 πn

两边除以

4

4 x = π + 2 πn

两边除以

4

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

化简

x = \frac{π}{4} + \frac{πn}{2}

x = \frac{π}{4} + \frac{πn}{2}

x = \frac{πn}{2}, x = \frac{π}{4} + \frac{πn}{2}

作图

流行的例子

csc (x) = sec (4 1^{\circ})

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

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

2sin^2(θ)-5cos(θ)+1=0

2 sin^{2} (θ) - 5 cos (θ) + 1 = 0

sec^2(x)cos(x)=cos(x),0<x<360

sec^{2} (x) cos (x) = cos (x), 0^{\circ} < x < 36 0^{\circ}

5sin(x)-4=2cos(2x)

5 sin (x) - 4 = 2 cos (2 x)