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受欢迎的三角函数 >

6sin(3t)=0

解答

6 sin (3 t) = 0

解答

t = \frac{2 πn}{3}, t = \frac{π}{3} + \frac{2 πn}{3}

+1

度数

t = 0^{\circ} + 12 0^{\circ} n, t = 6 0^{\circ} + 12 0^{\circ} n

求解步骤

6 sin (3 t) = 0

两边除以

6

6 sin (3 t) = 0

两边除以

6

\frac{6 sin ( 3 t )}{6} = \frac{0}{6}

化简

sin (3 t) = 0

sin (3 t) = 0

sin (3 t) = 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}

3 t = 0 + 2 πn, 3 t = π + 2 πn

3 t = 0 + 2 πn, 3 t = π + 2 πn

解

3 t = 0 + 2 πn : t = \frac{2 πn}{3}

3 t = 0 + 2 πn

0 + 2 πn = 2 πn

3 t = 2 πn

两边除以

3

3 t = 2 πn

两边除以

3

\frac{3 t}{3} = \frac{2 πn}{3}

化简

t = \frac{2 πn}{3}

t = \frac{2 πn}{3}

解

3 t = π + 2 πn : t = \frac{π}{3} + \frac{2 πn}{3}

3 t = π + 2 πn

两边除以

3

3 t = π + 2 πn

两边除以

3

\frac{3 t}{3} = \frac{π}{3} + \frac{2 πn}{3}

化简

t = \frac{π}{3} + \frac{2 πn}{3}

t = \frac{π}{3} + \frac{2 πn}{3}

t = \frac{2 πn}{3}, t = \frac{π}{3} + \frac{2 πn}{3}

作图

流行的例子

sin(3x)cos(6x)-cos(3x)sin(6x)=-0.9

sin (3 x) cos (6 x) - cos (3 x) sin (6 x) = - 0.9

0 = cos (t)

∣ sin (x) ∣ = 1

tan (x) csc (x) = 2

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