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人気のある三角関数 >

6sqrt(2)+12cos(x-45)=0

解

62 + 12 cos (x - 4 5^{\circ}) = 0

解

x = 36 0^{\circ} n + 18 0^{\circ}, x = 36 0^{\circ} n + 27 0^{\circ}

+1

ラジアン

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

解答ステップ

62 + 12 cos (x - 4 5^{\circ}) = 0

62

を右側に移動します

62 + 12 cos (x - 4 5^{\circ}) = 0

両辺から

62

を引く

62 + 12 cos (x - 4 5^{\circ}) - 62 = 0 - 62

簡素化

12 cos (x - 4 5^{\circ}) = - 62

12 cos (x - 4 5^{\circ}) = - 62

以下で両辺を割る

12

12 cos (x - 4 5^{\circ}) = - 62

以下で両辺を割る

12

\frac{12 cos ( x - 4 5 ^{\circ} )}{12} = \frac{- 6 2}{12}

簡素化

\frac{12 cos ( x - 4 5 ^{\circ} )}{12} = \frac{- 6 2}{12}

簡素化

\frac{12 cos ( x - 4 5 ^{\circ} )}{12} : cos (x - 4 5^{\circ})

\frac{12 cos ( x - 4 5 ^{\circ} )}{12}

数を割る:

\frac{12}{12} = 1

= cos (x - 4 5^{\circ})

簡素化

\frac{- 6 2}{12} : - \frac{2}{2}

\frac{- 6 2}{12}

分数の規則を適用する:

\frac{- a}{b} = - \frac{a}{b}

= - \frac{6 2}{12}

共通因数を約分する:

6

= - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

cos (x - 4 5^{\circ}) = - \frac{2}{2}

以下の一般解

cos (x - 4 5^{\circ}) = - \frac{2}{2}

cos (x)

36 0^{\circ} n

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}

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n, x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n, x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

解く

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 18 0^{\circ}

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n

4 5^{\circ}

を右側に移動します

x - 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n

両辺に

4 5^{\circ}

を足す

x - 4 5^{\circ} + 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

簡素化

x - 4 5^{\circ} + 4 5^{\circ} = 13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

簡素化

x - 4 5^{\circ} + 4 5^{\circ} : x

x - 4 5^{\circ} + 4 5^{\circ}

類似した元を足す:

- 4 5^{\circ} + 4 5^{\circ} = 0

= x

簡素化

13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ} : 36 0^{\circ} n + 18 0^{\circ}

13 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

条件のようなグループ

= 36 0^{\circ} n + 4 5^{\circ} + 13 5^{\circ}

分数を組み合わせる

4 5^{\circ} + 13 5^{\circ} : 18 0^{\circ}

規則を適用

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

= \frac{18 0 ^{\circ} + 54 0 ^{\circ}}{4}

類似した元を足す:

18 0^{\circ} + 54 0^{\circ} = 72 0^{\circ}

= 18 0^{\circ}

数を割る:

\frac{4}{4} = 1

= 18 0^{\circ}

= 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}

解く

x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 27 0^{\circ}

x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

4 5^{\circ}

を右側に移動します

x - 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n

両辺に

4 5^{\circ}

を足す

x - 4 5^{\circ} + 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

簡素化

x - 4 5^{\circ} + 4 5^{\circ} = 22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

簡素化

x - 4 5^{\circ} + 4 5^{\circ} : x

x - 4 5^{\circ} + 4 5^{\circ}

類似した元を足す:

- 4 5^{\circ} + 4 5^{\circ} = 0

= x

簡素化

22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ} : 36 0^{\circ} n + 27 0^{\circ}

22 5^{\circ} + 36 0^{\circ} n + 4 5^{\circ}

条件のようなグループ

= 36 0^{\circ} n + 4 5^{\circ} + 22 5^{\circ}

分数を組み合わせる

4 5^{\circ} + 22 5^{\circ} : 27 0^{\circ}

規則を適用

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

= \frac{18 0 ^{\circ} + 90 0 ^{\circ}}{4}

類似した元を足す:

18 0^{\circ} + 90 0^{\circ} = 108 0^{\circ}

= 27 0^{\circ}

共通因数を約分する:

2

= 27 0^{\circ}

= 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 27 0^{\circ}

x = 36 0^{\circ} n + 18 0^{\circ}, x = 36 0^{\circ} n + 27 0^{\circ}

グラフ

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tan (θ) = - \frac{16.54}{34.01}

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