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受欢迎的三角函数 >

-6sin(c)-12=2sin(c)-4

解答

- 6 sin (c) - 12 = 2 sin (c) - 4

解答

c = \frac{3 π}{2} + 2 πn

+1

度数

c = 27 0^{\circ} + 36 0^{\circ} n

求解步骤

- 6 sin (c) - 12 = 2 sin (c) - 4

用替代法求解

- 6 sin (c) - 12 = 2 sin (c) - 4

令

: sin (c) = u

- 6 u - 12 = 2 u - 4

- 6 u - 12 = 2 u - 4 : u = - 1

- 6 u - 12 = 2 u - 4

将

12

到右边

- 6 u - 12 = 2 u - 4

两边加上

12

- 6 u - 12 + 12 = 2 u - 4 + 12

化简

- 6 u = 2 u + 8

- 6 u = 2 u + 8

将

2 u

para o lado esquerdo

- 6 u = 2 u + 8

两边减去

2 u

- 6 u - 2 u = 2 u + 8 - 2 u

化简

- 8 u = 8

- 8 u = 8

两边除以

- 8

- 8 u = 8

两边除以

- 8

\frac{- 8 u}{- 8} = \frac{8}{- 8}

化简

u = - 1

u = - 1

u = sin (c)

代回

sin (c) = - 1

sin (c) = - 1

sin (c) = - 1 : c = \frac{3 π}{2} + 2 πn

sin (c) = - 1

sin (c) = - 1

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}

c = \frac{3 π}{2} + 2 πn

c = \frac{3 π}{2} + 2 πn

合并所有解

c = \frac{3 π}{2} + 2 πn

作图

流行的例子

tan(2x+10)=cot(3x-15)

tan (2 x + 10) = cot (3 x - 15)

tan (θ) = \frac{- 4}{3}

4cos(x)sin(x)-sin(x)=0

4 cos (x) sin (x) - sin (x) = 0

3sin(θ)=3cos(θ)

3 sin (θ) = 3 cos (θ)

arcsin(x)=(7pi)/8

arcsin (x) = \frac{7 π}{8}