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 >

cos(9x)= 1/2

解

cos (9 x) = \frac{1}{2}

解

x = \frac{π}{27} + \frac{2 πn}{9}, x = \frac{5 π}{27} + \frac{2 πn}{9}

+1

度

x = 6.66666 \dots^{\circ} + 4 0^{\circ} n, x = 33.33333 \dots^{\circ} + 4 0^{\circ} n

解答ステップ

cos (9 x) = \frac{1}{2}

以下の一般解

cos (9 x) = \frac{1}{2}

cos (x)

2 πn

循環を含む周期性テーブル:

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} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{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} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

9 x = \frac{π}{3} + 2 πn, 9 x = \frac{5 π}{3} + 2 πn

9 x = \frac{π}{3} + 2 πn, 9 x = \frac{5 π}{3} + 2 πn

解く

9 x = \frac{π}{3} + 2 πn : x = \frac{π}{27} + \frac{2 πn}{9}

9 x = \frac{π}{3} + 2 πn

以下で両辺を割る

9

9 x = \frac{π}{3} + 2 πn

以下で両辺を割る

9

\frac{9 x}{9} = \frac{\frac{π}{3}}{9} + \frac{2 πn}{9}

簡素化

\frac{9 x}{9} = \frac{\frac{π}{3}}{9} + \frac{2 πn}{9}

簡素化

\frac{9 x}{9} : x

\frac{9 x}{9}

数を割る:

\frac{9}{9} = 1

= x

簡素化

\frac{\frac{π}{3}}{9} + \frac{2 πn}{9} : \frac{π}{27} + \frac{2 πn}{9}

\frac{\frac{π}{3}}{9} + \frac{2 πn}{9}

\frac{\frac{π}{3}}{9} = \frac{π}{27}

\frac{\frac{π}{3}}{9}

分数の規則を適用する:

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

= \frac{π}{3 \cdot 9}

数を乗じる:

3 \cdot 9 = 27

= \frac{π}{27}

= \frac{π}{27} + \frac{2 πn}{9}

x = \frac{π}{27} + \frac{2 πn}{9}

x = \frac{π}{27} + \frac{2 πn}{9}

x = \frac{π}{27} + \frac{2 πn}{9}

解く

9 x = \frac{5 π}{3} + 2 πn : x = \frac{5 π}{27} + \frac{2 πn}{9}

9 x = \frac{5 π}{3} + 2 πn

以下で両辺を割る

9

9 x = \frac{5 π}{3} + 2 πn

以下で両辺を割る

9

\frac{9 x}{9} = \frac{\frac{5 π}{3}}{9} + \frac{2 πn}{9}

簡素化

\frac{9 x}{9} = \frac{\frac{5 π}{3}}{9} + \frac{2 πn}{9}

簡素化

\frac{9 x}{9} : x

\frac{9 x}{9}

数を割る:

\frac{9}{9} = 1

= x

簡素化

\frac{\frac{5 π}{3}}{9} + \frac{2 πn}{9} : \frac{5 π}{27} + \frac{2 πn}{9}

\frac{\frac{5 π}{3}}{9} + \frac{2 πn}{9}

\frac{\frac{5 π}{3}}{9} = \frac{5 π}{27}

\frac{\frac{5 π}{3}}{9}

分数の規則を適用する:

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

= \frac{5 π}{3 \cdot 9}

数を乗じる:

3 \cdot 9 = 27

= \frac{5 π}{27}

= \frac{5 π}{27} + \frac{2 πn}{9}

x = \frac{5 π}{27} + \frac{2 πn}{9}

x = \frac{5 π}{27} + \frac{2 πn}{9}

x = \frac{5 π}{27} + \frac{2 πn}{9}

x = \frac{π}{27} + \frac{2 πn}{9}, x = \frac{5 π}{27} + \frac{2 πn}{9}

グラフ

人気の例

tan(2θ)=-sqrt(3),0<= θ<= 360

tan (2 θ) = - 3, 0^{\circ} \leq θ \leq 36 0^{\circ}

cos(t)-cos(2t)=0

cos (t) - cos (2 t) = 0

cot(2x)=-1,(0,2pi)

cot (2 x) = - 1, (0, 2 π)

sec^2(x)+4sec(x)-12=0

sec^{2} (x) + 4 sec (x) - 12 = 0

sin(θ)=-1,0<= θ<360

sin (θ) = - 1, 0^{\circ} \leq θ < 36 0^{\circ}