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受欢迎的三角函数 >

-8*sin(0.784+x)=0

解答

- 8 \cdot sin (0.784 + x) = 0

解答

x = 6.28318 \dots n - 0.784, x = π + 6.28318 \dots n - 0.784

+1

度数

x = - 44.91989 \dots^{\circ} + 36 0^{\circ} n, x = 135.08010 \dots^{\circ} + 36 0^{\circ} n

求解步骤

- 8 sin (0.784 + x) = 0

两边除以

- 8

- 8 sin (0.784 + x) = 0

两边除以

- 8

\frac{- 8 sin ( 0.784 + x )}{- 8} = \frac{0}{- 8}

化简

sin (0.784 + x) = 0

sin (0.784 + x) = 0

sin (0.784 + 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}

0.784 + x = 0 + 2 πn, 0.784 + x = π + 2 πn

0.784 + x = 0 + 2 πn, 0.784 + x = π + 2 πn

解

0.784 + x = 0 + 2 πn : x = 6.28318 \dots n - 0.784

0.784 + x = 0 + 2 πn

0 + 2 πn = 2 πn

0.784 + x = 2 πn

将

0.784

到右边

0.784 + x = 2 πn

两边减去

0.784

0.784 + x - 0.784 = 2 πn - 0.784

化简

x = 6.28318 \dots n - 0.784

x = 6.28318 \dots n - 0.784

解

0.784 + x = π + 2 πn : x = π + 6.28318 \dots n - 0.784

0.784 + x = π + 2 πn

将

0.784

到右边

0.784 + x = π + 2 πn

两边减去

0.784

0.784 + x - 0.784 = π + 2 πn - 0.784

化简

x = π + 6.28318 \dots n - 0.784

x = π + 6.28318 \dots n - 0.784

x = 6.28318 \dots n - 0.784, x = π + 6.28318 \dots n - 0.784

作图

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