sec(x)= 7/5

Lösung

sec (x) = \frac{7}{5}

x = 0.77519 \dots + 2 πn, x = 2 π - 0.77519 \dots + 2 πn

Grad

x = 44.41530 \dots^{\circ} + 36 0^{\circ} n, x = 315.58469 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sec (x) = \frac{7}{5}

Wende die Eigenschaften der Trigonometrie an

sec (x) = \frac{7}{5}

Allgemeine Lösung für

sec (x) = \frac{7}{5}

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

x = arcsec (\frac{7}{5}) + 2 πn, x = 2 π - arcsec (\frac{7}{5}) + 2 πn

x = arcsec (\frac{7}{5}) + 2 πn, x = 2 π - arcsec (\frac{7}{5}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.77519 \dots + 2 πn, x = 2 π - 0.77519 \dots + 2 πn

cos (5 θ) = sin (3 θ)

(2 sin (2 x) + 2 cos (2 x))^{2} = 4

sin (x) = \frac{7}{3}

0 = sin (4 x)

so l v e f or x, sin (x) = sin (2 x)