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 >

sin(x)tan(x-30)=0

解

sin (x) tan (x - 3 0^{\circ}) = 0

解

x = 36 0^{\circ} n, x = 18 0^{\circ} + 36 0^{\circ} n, x = 18 0^{\circ} n + 3 0^{\circ}

+1

ラジアン

x = 0 + 2 πn, x = π + 2 πn, x = \frac{π}{6} + πn

解答ステップ

sin (x) tan (x - 3 0^{\circ}) = 0

各部分を別個に解く

sin (x) = 0 or tan (x - 3 0^{\circ}) = 0

sin (x) = 0 : x = 36 0^{\circ} n, x = 18 0^{\circ} + 36 0^{\circ} n

sin (x) = 0

以下の一般解

sin (x) = 0

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

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

解く

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

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

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

x = 36 0^{\circ} n

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

tan (x - 3 0^{\circ}) = 0 : x = 18 0^{\circ} n + 3 0^{\circ}

tan (x - 3 0^{\circ}) = 0

以下の一般解

tan (x - 3 0^{\circ}) = 0

tan (x)

18 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} tan (x) 0 \frac{3}{3} 13 \pm \infty - 3 - 1 - \frac{3}{3}

x - 3 0^{\circ} = 0 + 18 0^{\circ} n

x - 3 0^{\circ} = 0 + 18 0^{\circ} n

解く

x - 3 0^{\circ} = 0 + 18 0^{\circ} n : x = 18 0^{\circ} n + 3 0^{\circ}

x - 3 0^{\circ} = 0 + 18 0^{\circ} n

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

x - 3 0^{\circ} = 18 0^{\circ} n

3 0^{\circ}

を右側に移動します

x - 3 0^{\circ} = 18 0^{\circ} n

両辺に

3 0^{\circ}

を足す

x - 3 0^{\circ} + 3 0^{\circ} = 18 0^{\circ} n + 3 0^{\circ}

簡素化

x = 18 0^{\circ} n + 3 0^{\circ}

x = 18 0^{\circ} n + 3 0^{\circ}

x = 18 0^{\circ} n + 3 0^{\circ}

すべての解を組み合わせる

x = 36 0^{\circ} n, x = 18 0^{\circ} + 36 0^{\circ} n, x = 18 0^{\circ} n + 3 0^{\circ}

グラフ

人気の例

2cos^2(x)+5sin(x)+1=0

(125)/(sin(110))=(100)/(sin(b))

tan((2x)/3)-sqrt(3)=0

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