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Beliebt Trigonometrie >

-sec(x)=csc(3.45)

Lösung

- sec (x) = csc (3.45)

Lösung

x = 1.26238 \dots + 2 πn, x = 2 π - 1.26238 \dots + 2 πn

+1

Grad

x = 72.32956 \dots^{\circ} + 36 0^{\circ} n, x = 287.67043 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

- sec (x) = csc (3.45)

csc (3.45) = csc (\frac{69}{20})

csc (3.45)

- sec (x) = csc (\frac{69}{20})

Teile beide Seiten durch

- 1

- sec (x) = csc (\frac{69}{20})

Teile beide Seiten durch

- 1

\frac{- sec ( x )}{- 1} = \frac{csc ( \frac{69}{20} )}{- 1}

Vereinfache

\frac{- sec ( x )}{- 1} = \frac{csc ( \frac{69}{20} )}{- 1}

Vereinfache

\frac{- sec ( x )}{- 1} : sec (x)

\frac{- sec ( x )}{- 1}

Wende Bruchregel an:

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

= \frac{sec ( x )}{1}

Wende Regel an

\frac{a}{1} = a

= sec (x)

Vereinfache

\frac{csc ( \frac{69}{20} )}{- 1} : - csc (\frac{69}{20})

\frac{csc ( \frac{69}{20} )}{- 1}

Wende Bruchregel an:

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

= - \frac{csc ( \frac{69}{20} )}{1}

Wende Bruchregel an:

\frac{a}{1} = a

\frac{csc ( \frac{69}{20} )}{1} = csc (\frac{69}{20})

= - csc (\frac{69}{20})

sec (x) = - csc (\frac{69}{20})

sec (x) = - csc (\frac{69}{20})

sec (x) = - csc (\frac{69}{20})

Wende die Eigenschaften der Trigonometrie an

sec (x) = - csc (\frac{69}{20})

Allgemeine Lösung für

sec (x) = - csc (\frac{69}{20})

sec (x) = a \Rightarrow x = arcsec (a) + 2 πn, x = 2 π - arcsec (a) + 2 πn

x = arcsec (- csc (\frac{69}{20})) + 2 πn, x = 2 π - arcsec (- csc (\frac{69}{20})) + 2 πn

x = arcsec (- csc (\frac{69}{20})) + 2 πn, x = 2 π - arcsec (- csc (\frac{69}{20})) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.26238 \dots + 2 πn, x = 2 π - 1.26238 \dots + 2 πn

Graph

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