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受欢迎的 >

8sin(c)+3=3sin(c)+3

解答

8 sin (c) + 3 = 3 sin (c) + 3

解答

c = 2 πn, c = π + 2 πn

+1

度数

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

求解步骤

8 sin (c) + 3 = 3 sin (c) + 3

用替代法求解

8 sin (c) + 3 = 3 sin (c) + 3

令

: sin (c) = u

8 u + 3 = 3 u + 3

8 u + 3 = 3 u + 3 : u = 0

8 u + 3 = 3 u + 3

两边减去

3

8 u + 3 - 3 = 3 u + 3 - 3

化简

8 u = 3 u

将

3 u

para o lado esquerdo

8 u = 3 u

两边减去

3 u

8 u - 3 u = 3 u - 3 u

化简

5 u = 0

5 u = 0

两边除以

5

5 u = 0

两边除以

5

\frac{5 u}{5} = \frac{0}{5}

化简

u = 0

u = 0

u = sin (c)

代回

sin (c) = 0

sin (c) = 0

sin (c) = 0 : c = 2 πn, c = π + 2 πn

sin (c) = 0

sin (c) = 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}

c = 0 + 2 πn, c = π + 2 πn

c = 0 + 2 πn, c = π + 2 πn

解

c = 0 + 2 πn : c = 2 πn

c = 0 + 2 πn

0 + 2 πn = 2 πn

c = 2 πn

c = 2 πn, c = π + 2 πn

合并所有解

c = 2 πn, c = π + 2 πn

流行的例子

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

2cos^2(x)-7cos(x)=-3,0<= x<= 2pi

2 cos^{2} (x) - 7 cos (x) = - 3, 0 \leq x \leq 2 π

sin(2x)=((4m-9))/8

sin (2 x) = \frac{( 4 m - 9 )}{8}

sin (2 x) = - 2

sin(x)=sin(90-x)

sin (x) = sin (9 0^{\circ} - x)