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 >

tan(2θ)=1,0<= θ<= 360

解

tan (2 θ) = 1, 0^{\circ} \leq θ \leq 36 0^{\circ}

解

θ = 22. 5^{\circ}, θ = 112. 5^{\circ}, θ = 202. 5^{\circ}, θ = 292. 5^{\circ}

+1

ラジアン

θ = \frac{π}{8}, θ = \frac{5 π}{8}, θ = \frac{9 π}{8}, θ = \frac{13 π}{8}

解答ステップ

tan (2 θ) = 1, 0^{\circ} \leq θ \leq 36 0^{\circ}

以下の一般解

tan (2 θ) = 1

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}

2 θ = 4 5^{\circ} + 18 0^{\circ} n

2 θ = 4 5^{\circ} + 18 0^{\circ} n

解く

2 θ = 4 5^{\circ} + 18 0^{\circ} n : θ = 22. 5^{\circ} + \frac{18 0 ^{\circ} n}{2}

2 θ = 4 5^{\circ} + 18 0^{\circ} n

以下で両辺を割る

2

2 θ = 4 5^{\circ} + 18 0^{\circ} n

以下で両辺を割る

2

\frac{2 θ}{2} = \frac{4 5 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2}

簡素化

\frac{2 θ}{2} = \frac{4 5 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2}

簡素化

\frac{2 θ}{2} : θ

\frac{2 θ}{2}

数を割る:

\frac{2}{2} = 1

= θ

簡素化

\frac{4 5 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2} : 22. 5^{\circ} + \frac{18 0 ^{\circ} n}{2}

\frac{4 5 ^{\circ}}{2} + \frac{18 0 ^{\circ} n}{2}

\frac{4 5 ^{\circ}}{2} = 22. 5^{\circ}

\frac{4 5 ^{\circ}}{2}

分数の規則を適用する:

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

= \frac{18 0 ^{\circ}}{4 \cdot 2}

数を乗じる:

4 \cdot 2 = 8

= 22. 5^{\circ}

= 22. 5^{\circ} + \frac{18 0 ^{\circ} n}{2}

θ = 22. 5^{\circ} + \frac{18 0 ^{\circ} n}{2}

θ = 22. 5^{\circ} + \frac{18 0 ^{\circ} n}{2}

θ = 22. 5^{\circ} + \frac{18 0 ^{\circ} n}{2}

θ = 22. 5^{\circ} + \frac{18 0 ^{\circ} n}{2}

範囲の解答

0 \leq θ \leq 36 0^{\circ}

θ = 22. 5^{\circ}, θ = 112. 5^{\circ}, θ = 202. 5^{\circ}, θ = 292. 5^{\circ}

グラフ

人気の例

tan^3(x)-2tan(x)=tan(x)

tan^{3} (x) - 2 tan (x) = tan (x)

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

sin^{2} (x) + 2 cos^{2} (x) = 0

sin(x+16)=cos(11x+2)

sin (x + 1 6^{\circ}) = cos (11 x + 2)

sin^4(x/3)+cos^4(x/3)= 5/8

sin^{4} (\frac{x}{3}) + cos^{4} (\frac{x}{3}) = \frac{5}{8}

- 2 sin (x) = 1