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Beliebt Trigonometrie >

solvefor m,sec(m+12)=csc(42-n)

Lösung

löse nach

m, sec (m + 1 2^{\circ}) = csc (4 2^{\circ} - n)

Lösung

m = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}, m = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

+1

Radianten

m = arcsec (csc (\frac{7 π}{30} - n)) - \frac{π}{15} + 2 πk, m = - arcsec (csc (\frac{7 π}{30} - n)) - \frac{π}{15} + 2 πk

Schritte zur Lösung

sec (m + 1 2^{\circ}) = csc (4 2^{\circ} - n)

Wende die Eigenschaften der Trigonometrie an

sec (m + \frac{π}{15}) = csc (\frac{7 π}{30} - n)

Allgemeine Lösung für

sec (m + 1 2^{\circ}) = csc (4 2^{\circ} - n)

sec (x) = a \Rightarrow x = arcsec (a) + 36 0^{\circ} k, x = - arcsec (a) + 36 0^{\circ} k

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk, m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk, m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Löse

m + 1 2^{\circ} = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k : m = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Verschiebe

1 2^{\circ}

auf die rechte Seite

m + \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Subtrahiere

1 2^{\circ}

von beiden Seiten

m + \frac{π}{15} - \frac{π}{15} = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

Vereinfache

m = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

m = arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

Löse

m + 1 2^{\circ} = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k : m = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Verschiebe

1 2^{\circ}

auf die rechte Seite

m + \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk

Subtrahiere

1 2^{\circ}

von beiden Seiten

m + \frac{π}{15} - \frac{π}{15} = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

Vereinfache

m = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

m = - arcsec (csc (\frac{7 π}{30} - n)) + 2 πk - \frac{π}{15}

m = arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}, m = - arcsec (csc (4 2^{\circ} - n)) + 36 0^{\circ} k - 1 2^{\circ}

Graph

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