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(θ/2)=(7.83)/(2(4.35))

解答

sin (\frac{θ}{2}) = \frac{7.83}{2 ( 4.35 )}

解答

θ = 2 \cdot 1.11976 \dots + 4 πn, θ = 2 π - 2 \cdot 1.11976 \dots + 4 πn

+1

度数

θ = 128.31613 \dots^{\circ} + 72 0^{\circ} n, θ = 231.68386 \dots^{\circ} + 72 0^{\circ} n

求解步骤

sin (\frac{θ}{2}) = \frac{7.83}{2 ( 4.35 )}

数字相乘:

2 \cdot 4.35 = 8.7

sin (\frac{θ}{2}) = \frac{7.83}{8.7}

使用反三角函数性质

sin (\frac{θ}{2}) = \frac{7.83}{8.7}

sin (\frac{θ}{2}) = \frac{7.83}{8.7}

的通解

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn, \frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn, \frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn

解

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn : θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn

在两边乘以

2

\frac{θ}{2} = arcsin (\frac{7.83}{8.7}) + 2 πn

在两边乘以

2

\frac{2 θ}{2} = 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

化简

\frac{2 θ}{2} = 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

化简

\frac{2 θ}{2} : θ

\frac{2 θ}{2}

数字相除:

\frac{2}{2} = 1

= θ

化简

2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn : 2 arcsin (\frac{7.83}{8.7}) + 4 πn

2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

数字相乘:

2 \cdot 2 = 4

= 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn

解

\frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn : θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

\frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn

在两边乘以

2

\frac{θ}{2} = π - arcsin (\frac{7.83}{8.7}) + 2 πn

在两边乘以

2

\frac{2 θ}{2} = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

化简

\frac{2 θ}{2} = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

化简

\frac{2 θ}{2} : θ

\frac{2 θ}{2}

数字相除:

\frac{2}{2} = 1

= θ

化简

2 π - 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn : 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

2 π - 2 arcsin (\frac{7.83}{8.7}) + 2 \cdot 2 πn

数字相乘:

2 \cdot 2 = 4

= 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

θ = 2 arcsin (\frac{7.83}{8.7}) + 4 πn, θ = 2 π - 2 arcsin (\frac{7.83}{8.7}) + 4 πn

以小数形式表示解

θ = 2 \cdot 1.11976 \dots + 4 πn, θ = 2 π - 2 \cdot 1.11976 \dots + 4 πn

作图

流行的例子

-4sin(c)-2=sin(c)+1

- 4 sin (c) - 2 = sin (c) + 1

cot^{2} (x) + 1 = 2

sin(x)= 1/3 ,sec(y)=(25)/(24,cos(x+y))

sin (x) = \frac{1}{3}, sec (y) = \frac{25}{24 , cos ( x + y )}

2 = 2 - π cos (t)

solvefor a,45=arctanh(a/b)

so l v e f or a, 45 = arctanh (\frac{a}{b})