zs

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

受欢迎的三角函数 >

0=-0.65sin(13x)

解答

0 = - 0.65 sin (13 x)

解答

x = \frac{2 πn}{13}, x = \frac{π}{13} + \frac{2 πn}{13}

+1

度数

x = 0^{\circ} + 27.69230 \dots^{\circ} n, x = 13.84615 \dots^{\circ} + 27.69230 \dots^{\circ} n

求解步骤

0 = - 0.65 sin (13 x)

交换两边

- 0.65 sin (13 x) = 0

在两边乘以

100

- 0.65 sin (13 x) = 0

To eliminate decimal points, multiply by 10 for every digit after the decimal pointThere are

2

digits to the right of the decimal point, therefore multiply by

100

- 0.65 sin (13 x) \cdot 100 = 0 \cdot 100

整理后得

- 65 sin (13 x) = 0

- 65 sin (13 x) = 0

两边除以

- 65

- 65 sin (13 x) = 0

两边除以

- 65

\frac{- 65 sin ( 13 x )}{- 65} = \frac{0}{- 65}

化简

sin (13 x) = 0

sin (13 x) = 0

sin (13 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}

13 x = 0 + 2 πn, 13 x = π + 2 πn

13 x = 0 + 2 πn, 13 x = π + 2 πn

解

13 x = 0 + 2 πn : x = \frac{2 πn}{13}

13 x = 0 + 2 πn

0 + 2 πn = 2 πn

13 x = 2 πn

两边除以

13

13 x = 2 πn

两边除以

13

\frac{13 x}{13} = \frac{2 πn}{13}

化简

x = \frac{2 πn}{13}

x = \frac{2 πn}{13}

解

13 x = π + 2 πn : x = \frac{π}{13} + \frac{2 πn}{13}

13 x = π + 2 πn

两边除以

13

13 x = π + 2 πn

两边除以

13

\frac{13 x}{13} = \frac{π}{13} + \frac{2 πn}{13}

化简

x = \frac{π}{13} + \frac{2 πn}{13}

x = \frac{π}{13} + \frac{2 πn}{13}

x = \frac{2 πn}{13}, x = \frac{π}{13} + \frac{2 πn}{13}

作图

流行的例子

solvefor x,tan^2(x)-1=0

so l v e f or x, tan^{2} (x) - 1 = 0

c^9=3tan(-3x+c)

c^{9} = 3 tan (- 3 x + c)

1 = 8 + 7 sin (15 t)

4sin(θ)=4-4sin(θ)

4 sin (θ) = 4 - 4 sin (θ)

tan(θ)=(-sqrt(3))

tan (θ) = (- 3)