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人気のある三角関数 >

sin(x+30)= 1/2

解

sin (x + 3 0^{\circ}) = \frac{1}{2}

解

x = 36 0^{\circ} n, x = 36 0^{\circ} n + 12 0^{\circ}

+1

ラジアン

x = 0 + 2 πn, x = \frac{2 π}{3} + 2 πn

解答ステップ

sin (x + 3 0^{\circ}) = \frac{1}{2}

以下の一般解

sin (x + 3 0^{\circ}) = \frac{1}{2}

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

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n, x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n, x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

解く

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n

x + 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n

両辺から

3 0^{\circ}

を引く

x + 3 0^{\circ} - 3 0^{\circ} = 3 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

簡素化

x = 36 0^{\circ} n

解く

x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n : x = 36 0^{\circ} n + 12 0^{\circ}

x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

3 0^{\circ}

を右側に移動します

x + 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n

両辺から

3 0^{\circ}

を引く

x + 3 0^{\circ} - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

簡素化

x + 3 0^{\circ} - 3 0^{\circ} = 15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

簡素化

x + 3 0^{\circ} - 3 0^{\circ} : x

x + 3 0^{\circ} - 3 0^{\circ}

類似した元を足す:

3 0^{\circ} - 3 0^{\circ} = 0

= x

簡素化

15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ} : 36 0^{\circ} n + 12 0^{\circ}

15 0^{\circ} + 36 0^{\circ} n - 3 0^{\circ}

条件のようなグループ

= 36 0^{\circ} n - 3 0^{\circ} + 15 0^{\circ}

分数を組み合わせる

- 3 0^{\circ} + 15 0^{\circ} : 12 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}}{6}

類似した元を足す:

- 18 0^{\circ} + 90 0^{\circ} = 72 0^{\circ}

= 12 0^{\circ}

共通因数を約分する:

2

= 12 0^{\circ}

= 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n + 12 0^{\circ}

x = 36 0^{\circ} n, x = 36 0^{\circ} n + 12 0^{\circ}

グラフ

人気の例

sin (θ) = 21

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

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

4csc(x)+2sin(x)=9

4 csc (x) + 2 sin (x) = 9

1-cos(θ)=sin(θ/2)

1 - cos (θ) = sin (\frac{θ}{2})

sin(x+pi)+sin(x-pi)=0

sin (x + π) + sin (x - π) = 0