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Beliebt Trigonometrie >

cos(60-x)=1

Lösung

cos (6 0^{\circ} - x) = 1

Lösung

x = - 36 0^{\circ} n + 6 0^{\circ}

+1

Radianten

x = \frac{π}{3} - 2 πn

Schritte zur Lösung

cos (6 0^{\circ} - x) = 1

Allgemeine Lösung für

cos (6 0^{\circ} - x) = 1

cos (x)

Periodizitätstabelle mit

36 0^{\circ} n

Zyklus:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

6 0^{\circ} - x = 0 + 36 0^{\circ} n

6 0^{\circ} - x = 0 + 36 0^{\circ} n

Löse

6 0^{\circ} - x = 0 + 36 0^{\circ} n : x = - 36 0^{\circ} n + 6 0^{\circ}

6 0^{\circ} - x = 0 + 36 0^{\circ} n

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

6 0^{\circ} - x = 36 0^{\circ} n

Verschiebe

6 0^{\circ}

auf die rechte Seite

6 0^{\circ} - x = 36 0^{\circ} n

Subtrahiere

6 0^{\circ}

von beiden Seiten

6 0^{\circ} - x - 6 0^{\circ} = 36 0^{\circ} n - 6 0^{\circ}

Vereinfache

- x = 36 0^{\circ} n - 6 0^{\circ}

- x = 36 0^{\circ} n - 6 0^{\circ}

Teile beide Seiten durch

- 1

- x = 36 0^{\circ} n - 6 0^{\circ}

Teile beide Seiten durch

- 1

\frac{- x}{- 1} = \frac{36 0 ^{\circ} n}{- 1} - \frac{6 0 ^{\circ}}{- 1}

Vereinfache

\frac{- x}{- 1} = \frac{36 0 ^{\circ} n}{- 1} - \frac{6 0 ^{\circ}}{- 1}

Vereinfache

\frac{- x}{- 1} : x

\frac{- x}{- 1}

Wende Bruchregel an:

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

= \frac{x}{1}

Wende Regel an

\frac{a}{1} = a

= x

Vereinfache

\frac{36 0 ^{\circ} n}{- 1} - \frac{6 0 ^{\circ}}{- 1} : - 36 0^{\circ} n + 6 0^{\circ}

\frac{36 0 ^{\circ} n}{- 1} - \frac{6 0 ^{\circ}}{- 1}

\frac{36 0 ^{\circ} n}{- 1} = - 36 0^{\circ} n

\frac{36 0 ^{\circ} n}{- 1}

Wende Bruchregel an:

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

= - \frac{36 0 ^{\circ} n}{1}

Wende Regel an

\frac{a}{1} = a

= - 36 0^{\circ} n

= - 36 0^{\circ} n - \frac{6 0 ^{\circ}}{- 1}

\frac{6 0 ^{\circ}}{- 1} = - 6 0^{\circ}

\frac{6 0 ^{\circ}}{- 1}

Wende Bruchregel an:

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

= - \frac{6 0 ^{\circ}}{1}

Wende Bruchregel an:

\frac{a}{1} = a

\frac{6 0 ^{\circ}}{1} = 6 0^{\circ}

= - 6 0^{\circ}

= - 36 0^{\circ} n - (- 6 0^{\circ})

Wende Regel an

- (- a) = a

= - 36 0^{\circ} n + 6 0^{\circ}

x = - 36 0^{\circ} n + 6 0^{\circ}

x = - 36 0^{\circ} n + 6 0^{\circ}

x = - 36 0^{\circ} n + 6 0^{\circ}

x = - 36 0^{\circ} n + 6 0^{\circ}

Graph

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