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Beliebt Trigonometrie >

3cos(x)+sec(145)=1

Lösung

3 cos (x) + sec (14 5^{\circ}) = 1

Lösung

x = 0.7373420134 + 36 0^{\circ} n, x = 36 0^{\circ} - 0.7373420134 + 36 0^{\circ} n

+1

Radianten

x = 0.7373420134 + 2 πn, x = 2 π - 0.7373420134 + 2 πn

Schritte zur Lösung

3 cos (x) + sec (14 5^{\circ}) = 1

Verschiebe

sec (14 5^{\circ})

auf die rechte Seite

3 cos (x) + sec (14 5^{\circ}) = 1

Subtrahiere

sec (14 5^{\circ})

von beiden Seiten

3 cos (x) + sec (14 5^{\circ}) - sec (14 5^{\circ}) = 1 - sec (14 5^{\circ})

Vereinfache

3 cos (x) = 1 - sec (14 5^{\circ})

3 cos (x) = 1 - sec (14 5^{\circ})

Teile beide Seiten durch

3

3 cos (x) = 1 - sec (14 5^{\circ})

Teile beide Seiten durch

3

\frac{3 cos ( x )}{3} = \frac{1}{3} - \frac{sec ( 14 5 ^{\circ} )}{3}

Vereinfache

\frac{3 cos ( x )}{3} = \frac{1}{3} - \frac{sec ( 14 5 ^{\circ} )}{3}

Vereinfache

\frac{3 cos ( x )}{3} : cos (x)

\frac{3 cos ( x )}{3}

Teile die Zahlen:

\frac{3}{3} = 1

= cos (x)

Vereinfache

\frac{1}{3} - \frac{sec ( 14 5 ^{\circ} )}{3} : \frac{1 - sec ( 14 5 ^{\circ} )}{3}

\frac{1}{3} - \frac{sec ( 14 5 ^{\circ} )}{3}

Wende Regel an

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

= \frac{1 - sec ( 14 5 ^{\circ} )}{3}

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

Allgemeine Lösung für

cos (x) = \frac{1 - sec ( 14 5 ^{\circ} )}{3}

cos (x) = a \Rightarrow x = arccos (a) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (a) + 36 0^{\circ} n

x = arccos (\frac{1 - sec ( 14 5 ^{\circ} )}{3}) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (\frac{1 - sec ( 14 5 ^{\circ} )}{3}) + 36 0^{\circ} n

x = arccos (\frac{1 - sec ( 14 5 ^{\circ} )}{3}) + 36 0^{\circ} n, x = 36 0^{\circ} - arccos (\frac{1 - sec ( 14 5 ^{\circ} )}{3}) + 36 0^{\circ} n

Zeige Lösungen in Dezimalform

x = 0.7373420134 + 36 0^{\circ} n, x = 36 0^{\circ} - 0.7373420134 + 36 0^{\circ} n

Graph

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