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受欢迎的三角函数 >

6sin(2x)=0

解答

6 sin (2 x) = 0

解答

x = πn, x = \frac{π}{2} + πn

+1

度数

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

求解步骤

6 sin (2 x) = 0

两边除以

6

6 sin (2 x) = 0

两边除以

6

\frac{6 sin ( 2 x )}{6} = \frac{0}{6}

化简

sin (2 x) = 0

sin (2 x) = 0

sin (2 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}

2 x = 0 + 2 πn, 2 x = π + 2 πn

2 x = 0 + 2 πn, 2 x = π + 2 πn

解

2 x = 0 + 2 πn : x = πn

2 x = 0 + 2 πn

0 + 2 πn = 2 πn

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

解

2 x = π + 2 πn : x = \frac{π}{2} + πn

2 x = π + 2 πn

两边除以

2

2 x = π + 2 πn

两边除以

2

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

化简

x = \frac{π}{2} + πn

x = \frac{π}{2} + πn

x = πn, x = \frac{π}{2} + πn

作图

流行的例子

(100*9.8*l(1-cos(θ)))=0.018

(100 \cdot 9.8 \cdot l (1 - cos (θ))) = 0.018

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

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

tan(2x-30)cot(50)=1

tan (2 x - 3 0^{\circ}) cot (5 0^{\circ}) = 1

solvefor x,3sec^4(x)-10sec^2(x)+8=0

so l v e f or x, 3 sec^{4} (x) - 10 sec^{2} (x) + 8 = 0

4(1+sin(x))sin(x)=3

4 (1 + sin (x)) sin (x) = 3