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受欢迎的三角函数 >

-3sin(b)-2=sin(b)-2

解答

- 3 sin (b) - 2 = sin (b) - 2

解答

b = 2 πn, b = π + 2 πn

+1

度数

b = 0^{\circ} + 36 0^{\circ} n, b = 18 0^{\circ} + 36 0^{\circ} n

求解步骤

- 3 sin (b) - 2 = sin (b) - 2

用替代法求解

- 3 sin (b) - 2 = sin (b) - 2

令

: sin (b) = u

- 3 u - 2 = u - 2

- 3 u - 2 = u - 2 : u = 0

- 3 u - 2 = u - 2

两边加上

2

- 3 u - 2 + 2 = u - 2 + 2

化简

- 3 u = u

将

u

para o lado esquerdo

- 3 u = u

两边减去

u

- 3 u - u = u - u

化简

- 4 u = 0

- 4 u = 0

两边除以

- 4

- 4 u = 0

两边除以

- 4

\frac{- 4 u}{- 4} = \frac{0}{- 4}

化简

u = 0

u = 0

u = sin (b)

代回

sin (b) = 0

sin (b) = 0

sin (b) = 0 : b = 2 πn, b = π + 2 πn

sin (b) = 0

sin (b) = 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}

b = 0 + 2 πn, b = π + 2 πn

b = 0 + 2 πn, b = π + 2 πn

解

b = 0 + 2 πn : b = 2 πn

b = 0 + 2 πn

0 + 2 πn = 2 πn

b = 2 πn

b = 2 πn, b = π + 2 πn

合并所有解

b = 2 πn, b = π + 2 πn

作图

流行的例子

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

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

tan(2θ-10)=cot(θ)

tan (2 θ - 1 0^{\circ}) = cot (θ)

sinh (x) = 4

2cos^2(θ)-3cos(θ)+1=0,0<= θ<2pi

2 cos^{2} (θ) - 3 cos (θ) + 1 = 0, 0 \leq θ < 2 π

cos (x) sin (x) = 1