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 >

8cos(6x)=2

解

8 cos (6 x) = 2

解

x = \frac{1.31811 \dots}{6} + \frac{πn}{3}, x = \frac{π}{3} - \frac{1.31811 \dots}{6} + \frac{πn}{3}

+1

度

x = 12.58708 \dots^{\circ} + 6 0^{\circ} n, x = 47.41291 \dots^{\circ} + 6 0^{\circ} n

解答ステップ

8 cos (6 x) = 2

以下で両辺を割る

8

8 cos (6 x) = 2

以下で両辺を割る

8

\frac{8 cos ( 6 x )}{8} = \frac{2}{8}

簡素化

cos (6 x) = \frac{1}{4}

cos (6 x) = \frac{1}{4}

三角関数の逆数プロパティを適用する

cos (6 x) = \frac{1}{4}

以下の一般解

cos (6 x) = \frac{1}{4}

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

6 x = arccos (\frac{1}{4}) + 2 πn, 6 x = 2 π - arccos (\frac{1}{4}) + 2 πn

6 x = arccos (\frac{1}{4}) + 2 πn, 6 x = 2 π - arccos (\frac{1}{4}) + 2 πn

解く

6 x = arccos (\frac{1}{4}) + 2 πn : x = \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

6 x = arccos (\frac{1}{4}) + 2 πn

以下で両辺を割る

6

6 x = arccos (\frac{1}{4}) + 2 πn

以下で両辺を割る

6

\frac{6 x}{6} = \frac{arccos ( \frac{1}{4} )}{6} + \frac{2 πn}{6}

簡素化

x = \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

x = \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

解く

6 x = 2 π - arccos (\frac{1}{4}) + 2 πn : x = \frac{π}{3} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

6 x = 2 π - arccos (\frac{1}{4}) + 2 πn

以下で両辺を割る

6

6 x = 2 π - arccos (\frac{1}{4}) + 2 πn

以下で両辺を割る

6

\frac{6 x}{6} = \frac{2 π}{6} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{2 πn}{6}

簡素化

\frac{6 x}{6} = \frac{2 π}{6} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{2 πn}{6}

簡素化

\frac{6 x}{6} : x

\frac{6 x}{6}

数を割る:

\frac{6}{6} = 1

= x

簡素化

\frac{2 π}{6} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{2 πn}{6} : \frac{π}{3} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

\frac{2 π}{6} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{2 πn}{6}

キャンセル

\frac{2 π}{6} : \frac{π}{3}

\frac{2 π}{6}

共通因数を約分する:

2

= \frac{π}{3}

= \frac{π}{3} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{2 πn}{6}

キャンセル

\frac{2 πn}{6} : \frac{πn}{3}

\frac{2 πn}{6}

共通因数を約分する:

2

= \frac{πn}{3}

= \frac{π}{3} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

x = \frac{π}{3} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

x = \frac{π}{3} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

x = \frac{π}{3} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

x = \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}, x = \frac{π}{3} - \frac{arccos ( \frac{1}{4} )}{6} + \frac{πn}{3}

10進法形式で解を証明する

x = \frac{1.31811 \dots}{6} + \frac{πn}{3}, x = \frac{π}{3} - \frac{1.31811 \dots}{6} + \frac{πn}{3}

グラフ

人気の例

sin(x)=(-(6))/((7)cos(x))

sin (x) = \frac{- ( 6 )}{( 7 ) cos ( x )}

5^2=8^2-(11.85)^2-2(8)(11.85)(cos(A))

5^{2} = 8^{2} - (11.85)^{2} - 2 (8) (11.85) (cos (A))

2 + 2 sin (θ) = 4

- 4 sin (8 x) = 0

-sin(x)+2cos(x)=0

- sin (x) + 2 cos (x) = 0