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 >

(sin(90))/(458.912)=(sin(x))/(450)

解答

\frac{sin ( 9 0 ^{\circ} )}{458.912} = \frac{sin ( x )}{450}

解答

x = 1.37339 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.37339 \dots + 36 0^{\circ} n

+1

弧度

x = 1.37339 \dots + 2 πn, x = π - 1.37339 \dots + 2 πn

求解步骤

\frac{sin ( 9 0 ^{\circ} )}{458.912} = \frac{sin ( x )}{450}

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

使用以下普通恒等式:

sin (9 0^{\circ}) = 1

sin (9 0^{\circ})

sin (x)

周期表（周期为

36 0^{\circ} n

"）：

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} sin (x) 0 \frac{1}{2} \frac{2}{2} \frac{3}{2} 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} sin (x) 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2}

= 1

= 1

\frac{1}{458.912} = \frac{sin ( x )}{450}

交换两边

\frac{sin ( x )}{450} = \frac{1}{458.912}

在两边乘以

10

\frac{sin ( x )}{450} = \frac{1}{458.912}

在两边乘以

10

\frac{sin ( x )}{450} \cdot 10 = \frac{1}{458.912} \cdot 10

化简

\frac{sin ( x )}{450} \cdot 10 = \frac{1}{458.912} \cdot 10

化简

\frac{sin ( x )}{450} \cdot 10 : \frac{sin ( x )}{45}

\frac{sin ( x )}{450} \cdot 10

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{sin ( x ) \cdot 10}{450}

约分:

10

= \frac{sin ( x )}{45}

化简

\frac{1}{458.912} \cdot 10 : \frac{10}{458.912}

\frac{1}{458.912} \cdot 10

分式相乘:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot 10}{458.912}

数字相乘:

1 \cdot 10 = 10

= \frac{10}{458.912}

\frac{sin ( x )}{45} = \frac{10}{458.912}

\frac{sin ( x )}{45} = \frac{10}{458.912}

\frac{sin ( x )}{45} = \frac{10}{458.912}

在两边乘以

45

\frac{sin ( x )}{45} = \frac{10}{458.912}

在两边乘以

45

\frac{45 sin ( x )}{45} = \frac{10 \cdot 45}{458.912}

化简

\frac{45 sin ( x )}{45} = \frac{10 \cdot 45}{458.912}

化简

\frac{45 sin ( x )}{45} : sin (x)

\frac{45 sin ( x )}{45}

数字相除:

\frac{45}{45} = 1

= sin (x)

化简

\frac{10 \cdot 45}{458.912} : 0.98058 \dots

\frac{10 \cdot 45}{458.912}

数字相乘:

10 \cdot 45 = 450

= \frac{450}{458.912}

数字相除:

\frac{450}{458.912} = 0.98058 \dots

= 0.98058 \dots

sin (x) = 0.98058 \dots

sin (x) = 0.98058 \dots

sin (x) = 0.98058 \dots

使用反三角函数性质

sin (x) = 0.98058 \dots

sin (x) = 0.98058 \dots

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

x = arcsin (0.98058 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.98058 \dots) + 36 0^{\circ} n

x = arcsin (0.98058 \dots) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (0.98058 \dots) + 36 0^{\circ} n

以小数形式表示解

x = 1.37339 \dots + 36 0^{\circ} n, x = 18 0^{\circ} - 1.37339 \dots + 36 0^{\circ} n

作图

流行的例子

0=(2pi^2cos(\frac{pix)/(10))}{25}

0 = \frac{2 π ^{2} cos ( \frac{π x}{10} )}{25}

300cos(70)=375cos(θ)

300 cos (7 0^{\circ}) = 375 cos (θ)

812.25=399.6001+400-1140cos(a)

812.25 = 399.6001 + 400 - 1140 cos (a)

- 0.6 = sin (2 x)

solvefor x,(sin(pix)+cos(piy))^5=36

so l v e f or x, (sin (π x) + cos (π y))^{5} = 36