English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

sin(2x)=0.3,-180\circ <= x<= 180

Lösung

sin (2 x) = 0.3, - 180 \circ \leq x \leq 18 0^{\circ}

x = 0.15234 \dots, x = \frac{18 0 ^{\circ} - 0.30469 \dots}{2}, x = - 2.98924 \dots, x = \frac{- 18 0 ^{\circ} - 0.30469 \dots}{2}, x = - 6.13083 \dots, x = - 4.86473 \dots, x = - 9.27243 \dots, x = - 8.00632 \dots, x = - 12.41402 \dots, x = - 11.14792 \dots

Radianten

x = 0.15234 \dots, x = \frac{π - 0.30469 \dots}{2}, x = - 2.98924 \dots, x = \frac{- π - 0.30469 \dots}{2}, x = - 6.13083 \dots, x = - 4.86473 \dots, x = - 9.27243 \dots, x = - 8.00632 \dots, x = - 12.41402 \dots, x = - 11.14792 \dots

Schritte zur Lösung

sin (2 x) = 0.3, - 180 \circ \leq x \leq 18 0^{\circ}

Wende die Eigenschaften der Trigonometrie an

sin (2 x) = 0.3

Allgemeine Lösung für

sin (2 x) = 0.3

sin (x) = a \Rightarrow x = arcsin (a) + 36 0^{\circ} n, x = 18 0^{\circ} - arcsin (a) + 36 0^{\circ} n

2 x = arcsin (0.3) + 36 0^{\circ} n, 2 x = 18 0^{\circ} - arcsin (0.3) + 36 0^{\circ} n

2 x = arcsin (0.3) + 36 0^{\circ} n, 2 x = 18 0^{\circ} - arcsin (0.3) + 36 0^{\circ} n

Löse

2 x = arcsin (0.3) + 36 0^{\circ} n : x = \frac{arcsin ( 0.3 )}{2} + 18 0^{\circ} n

2 x = arcsin (0.3) + 36 0^{\circ} n

Teile beide Seiten durch

2

2 x = arcsin (0.3) + 36 0^{\circ} n

Teile beide Seiten durch

2

\frac{2 x}{2} = \frac{arcsin ( 0.3 )}{2} + \frac{36 0 ^{\circ} n}{2}

Vereinfache

x = \frac{arcsin ( 0.3 )}{2} + 18 0^{\circ} n

x = \frac{arcsin ( 0.3 )}{2} + 18 0^{\circ} n

Löse

2 x = 18 0^{\circ} - arcsin (0.3) + 36 0^{\circ} n : x = 9 0^{\circ} - \frac{arcsin ( 0.3 )}{2} + 18 0^{\circ} n

2 x = 18 0^{\circ} - arcsin (0.3) + 36 0^{\circ} n

Teile beide Seiten durch

2

2 x = 18 0^{\circ} - arcsin (0.3) + 36 0^{\circ} n

Teile beide Seiten durch

2

\frac{2 x}{2} = 9 0^{\circ} - \frac{arcsin ( 0.3 )}{2} + \frac{36 0 ^{\circ} n}{2}

Vereinfache

x = 9 0^{\circ} - \frac{arcsin ( 0.3 )}{2} + 18 0^{\circ} n

x = 9 0^{\circ} - \frac{arcsin ( 0.3 )}{2} + 18 0^{\circ} n

x = \frac{arcsin ( 0.3 )}{2} + 18 0^{\circ} n, x = 9 0^{\circ} - \frac{arcsin ( 0.3 )}{2} + 18 0^{\circ} n

Lösungen für den Bereich

- 180 \circ \leq x \leq 18 0^{\circ}

x = 0.15234 \dots, x = \frac{18 0 ^{\circ} - 0.30469 \dots}{2}, x = - 2.98924 \dots, x = \frac{- 18 0 ^{\circ} - 0.30469 \dots}{2}, x = - 6.13083 \dots, x = - 4.86473 \dots, x = - 9.27243 \dots, x = - 8.00632 \dots, x = - 12.41402 \dots, x = - 11.14792 \dots

cos (t) = - \frac{1}{3}

sin (5 x) = cos (x)

2 sin (x) = 2 sin (2 x)

sin (θ) + cos (θ) = \frac{7}{5}, sin (2 θ)

tan (x) = \frac{5}{9}