ja

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

人気のある三角関数 >

5.63=11cos((2pi)/T 0.137)

解

5.63 = 11 cos (\frac{2 π}{T} 0.137)

解

T = \frac{0.86079 \dots}{1.03349 \dots + 6.28318 \dots n}, T = \frac{0.86079 \dots}{6.28318 \dots n + 5.24968 \dots}

+1

度

T = 0^{\circ} + 6.74076 \dots^{\circ} n, T = 0^{\circ} + 4.27647 \dots^{\circ} n

解答ステップ

5.63 = 11 cos (\frac{2 π}{T} \cdot 0.137)

辺を交換する

11 cos (\frac{2 π}{T} \cdot 0.137) = 5.63

以下で両辺を割る

11

11 cos (\frac{2 π}{T} 0.137) = 5.63

以下で両辺を割る

11

\frac{11 cos ( \frac{2 π}{T} 0.137 )}{11} = \frac{5.63}{11}

簡素化

cos (\frac{2 π}{T} 0.137) = 0.51181 \dots

cos (\frac{2 π}{T} 0.137) = 0.51181 \dots

三角関数の逆数プロパティを適用する

cos (\frac{2 π}{T} \cdot 0.137) = 0.51181 \dots

以下の一般解

cos (\frac{2 π}{T} 0.137) = 0.51181 \dots

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

\frac{2 π}{T} \cdot 0.137 = arccos (0.51181 \dots) + 2 πn, \frac{2 π}{T} \cdot 0.137 = 2 π - arccos (0.51181 \dots) + 2 πn

\frac{2 π}{T} \cdot 0.137 = arccos (0.51181 \dots) + 2 πn, \frac{2 π}{T} \cdot 0.137 = 2 π - arccos (0.51181 \dots) + 2 πn

解く

\frac{2 π}{T} \cdot 0.137 = arccos (0.51181 \dots) + 2 πn : T = \frac{0.86079 \dots}{1.03349 \dots + 6.28318 \dots n}; n \neq = - \frac{arccos ( 0.51181 \dots )}{2 π}

\frac{2 π}{T} \cdot 0.137 = arccos (0.51181 \dots) + 2 πn

簡素化

\frac{2 π}{T} \cdot 0.137 : \frac{0.274 π}{T}

\frac{2 π}{T} \cdot 0.137

分数を乗じる:

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

= \frac{2 π 0.137}{T}

数を乗じる:

2 \cdot 0.137 = 0.274

= \frac{0.274 π}{T}

\frac{0.274 π}{T} = arccos (0.51181 \dots) + 2 πn

以下で両辺を乗じる:

T

\frac{0.274 π}{T} = arccos (0.51181 \dots) + 2 πn

以下で両辺を乗じる:

T

\frac{0.274 π}{T} T = arccos (0.51181 \dots) T + 2 πn T

簡素化

0.274 π = arccos (0.51181 \dots) T + 2 πn T

0.274 π = arccos (0.51181 \dots) T + 2 πn T

辺を交換する

arccos (0.51181 \dots) T + 2 πn T = 0.274 π

因数

arccos (0.51181 \dots) T + 2 πn T : T (arccos (0.51181 \dots) + 2 πn)

arccos (0.51181 \dots) T + 2 πn T

共通項をくくり出す

T

= T (arccos (0.51181 \dots) + 2 πn)

T (arccos (0.51181 \dots) + 2 πn) = 0.274 π

以下で両辺を割る

arccos (0.51181 \dots) + 2 πn; n \neq = - \frac{arccos ( 0.51181 \dots )}{2 π}

T (arccos (0.51181 \dots) + 2 πn) = 0.274 π

以下で両辺を割る

arccos (0.51181 \dots) + 2 πn; n \neq = - \frac{arccos ( 0.51181 \dots )}{2 π}

\frac{T ( arccos ( 0.51181 \dots ) + 2 πn )}{arccos ( 0.51181 \dots ) + 2 πn} = \frac{0.274 π}{arccos ( 0.51181 \dots ) + 2 πn}; n \neq = - \frac{arccos ( 0.51181 \dots )}{2 π}

簡素化

\frac{T ( arccos ( 0.51181 \dots ) + 2 πn )}{arccos ( 0.51181 \dots ) + 2 πn} = \frac{0.274 π}{arccos ( 0.51181 \dots ) + 2 πn}

簡素化

\frac{T ( arccos ( 0.51181 \dots ) + 2 πn )}{arccos ( 0.51181 \dots ) + 2 πn} : T

\frac{T ( arccos ( 0.51181 \dots ) + 2 πn )}{arccos ( 0.51181 \dots ) + 2 πn}

共通因数を約分する:

arccos (0.51181 \dots) + 2 πn

= T

簡素化

\frac{0.274 π}{arccos ( 0.51181 \dots ) + 2 πn} : \frac{0.86079 \dots}{1.03349 \dots + 6.28318 \dots n}

\frac{0.274 π}{arccos ( 0.51181 \dots ) + 2 πn}

arccos (0.51181 \dots) = 1.03349 \dots

= \frac{0.274 π}{1.03349 \dots + 2 πn}

改良

= \frac{0.86079 \dots}{1.03349 \dots + 6.28318 \dots n}

T = \frac{0.86079 \dots}{1.03349 \dots + 6.28318 \dots n}; n \neq = - \frac{arccos ( 0.51181 \dots )}{2 π}

T = \frac{0.86079 \dots}{1.03349 \dots + 6.28318 \dots n}; n \neq = - \frac{arccos ( 0.51181 \dots )}{2 π}

T = \frac{0.86079 \dots}{1.03349 \dots + 6.28318 \dots n}; n \neq = - \frac{arccos ( 0.51181 \dots )}{2 π}

解く

\frac{2 π}{T} \cdot 0.137 = 2 π - arccos (0.51181 \dots) + 2 πn : T = \frac{0.86079 \dots}{6.28318 \dots n + 5.24968 \dots}; n \neq = \frac{- 2 π + arccos ( 0.51181 \dots )}{2 π}

\frac{2 π}{T} \cdot 0.137 = 2 π - arccos (0.51181 \dots) + 2 πn

簡素化

\frac{2 π}{T} \cdot 0.137 : \frac{0.274 π}{T}

\frac{2 π}{T} \cdot 0.137

分数を乗じる:

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

= \frac{2 π 0.137}{T}

数を乗じる:

2 \cdot 0.137 = 0.274

= \frac{0.274 π}{T}

\frac{0.274 π}{T} = 2 π - arccos (0.51181 \dots) + 2 πn

以下で両辺を乗じる:

T

\frac{0.274 π}{T} = 2 π - arccos (0.51181 \dots) + 2 πn

以下で両辺を乗じる:

T

\frac{0.274 π}{T} T = 2 π T - arccos (0.51181 \dots) T + 2 πn T

簡素化

0.274 π = 2 π T - arccos (0.51181 \dots) T + 2 πn T

0.274 π = 2 π T - arccos (0.51181 \dots) T + 2 πn T

辺を交換する

2 π T - arccos (0.51181 \dots) T + 2 πn T = 0.274 π

因数

2 π T - arccos (0.51181 \dots) T + 2 πn T : T (2 π - arccos (0.51181 \dots) + 2 πn)

2 π T - arccos (0.51181 \dots) T + 2 πn T

共通項をくくり出す

T

= T (2 π - arccos (0.51181 \dots) + 2 πn)

T (2 π - arccos (0.51181 \dots) + 2 πn) = 0.274 π

以下で両辺を割る

2 π - arccos (0.51181 \dots) + 2 πn; n \neq = \frac{- 2 π + arccos ( 0.51181 \dots )}{2 π}

T (2 π - arccos (0.51181 \dots) + 2 πn) = 0.274 π

以下で両辺を割る

2 π - arccos (0.51181 \dots) + 2 πn; n \neq = \frac{- 2 π + arccos ( 0.51181 \dots )}{2 π}

\frac{T ( 2 π - arccos ( 0.51181 \dots ) + 2 πn )}{2 π - arccos ( 0.51181 \dots ) + 2 πn} = \frac{0.274 π}{2 π - arccos ( 0.51181 \dots ) + 2 πn}; n \neq = \frac{- 2 π + arccos ( 0.51181 \dots )}{2 π}

簡素化

\frac{T ( 2 π - arccos ( 0.51181 \dots ) + 2 πn )}{2 π - arccos ( 0.51181 \dots ) + 2 πn} = \frac{0.274 π}{2 π - arccos ( 0.51181 \dots ) + 2 πn}

簡素化

\frac{T ( 2 π - arccos ( 0.51181 \dots ) + 2 πn )}{2 π - arccos ( 0.51181 \dots ) + 2 πn} : T

\frac{T ( 2 π - arccos ( 0.51181 \dots ) + 2 πn )}{2 π - arccos ( 0.51181 \dots ) + 2 πn}

共通因数を約分する:

2 π - arccos (0.51181 \dots) + 2 πn

= T

簡素化

\frac{0.274 π}{2 π - arccos ( 0.51181 \dots ) + 2 πn} : \frac{0.86079 \dots}{6.28318 \dots n + 5.24968 \dots}

\frac{0.274 π}{2 π - arccos ( 0.51181 \dots ) + 2 πn}

arccos (0.51181 \dots) = 1.03349 \dots

= \frac{0.274 π}{2 π - 1.03349 \dots + 2 πn}

数を乗じる:

0.274 \cdot 3.14159 \dots = 0.86079 \dots

= \frac{0.86079 \dots}{2 π - 1.03349 \dots + 2 πn}

簡素化

\frac{0.86079 \dots}{2 π - 1.03349 \dots + 2 πn}

数を乗じる:

2 \cdot 3.14159 \dots = 6.28318 \dots

= \frac{0.86079 \dots}{6.28318 \dots - 1.03349 \dots + 2 πn}

数を乗じる:

2 \cdot 3.14159 \dots = 6.28318 \dots

= \frac{0.86079 \dots}{6.28318 \dots - 1.03349 \dots + 6.28318 \dots n}

数を引く:

6.28318 \dots - 1.03349 \dots = 5.24968 \dots

= \frac{0.86079 \dots}{6.28318 \dots n + 5.24968 \dots}

= \frac{0.86079 \dots}{6.28318 \dots n + 5.24968 \dots}

T = \frac{0.86079 \dots}{6.28318 \dots n + 5.24968 \dots}; n \neq = \frac{- 2 π + arccos ( 0.51181 \dots )}{2 π}

T = \frac{0.86079 \dots}{6.28318 \dots n + 5.24968 \dots}; n \neq = \frac{- 2 π + arccos ( 0.51181 \dots )}{2 π}

T = \frac{0.86079 \dots}{6.28318 \dots n + 5.24968 \dots}; n \neq = \frac{- 2 π + arccos ( 0.51181 \dots )}{2 π}

T = \frac{0.86079 \dots}{1.03349 \dots + 6.28318 \dots n}, T = \frac{0.86079 \dots}{6.28318 \dots n + 5.24968 \dots}

グラフ

人気の例

solvefor x=2arctan(z),z

so l v e f or x = 2 arctan (z), z

- 4 - 6 cos (θ) = - 7

cos(x)=(sqrt(3))/(sqrt(2))

cos (x) = \frac{3}{2}

sin(θ)=-(sqrt(3))/2 ,0<= θ<2pi

sin (θ) = - \frac{3}{2}, 0 \leq θ < 2 π

3sin(2θ)=5cos(θ)

3 sin (2 θ) = 5 cos (θ)