sec(y)=-2

Lösung

sec (y) = - 2

y = \frac{2 π}{3} + 2 πn, y = \frac{4 π}{3} + 2 πn

Grad

y = 12 0^{\circ} + 36 0^{\circ} n, y = 24 0^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sec (y) = - 2

Allgemeine Lösung für

sec (y) = - 2

sec (x)

Periodizitätstabelle mit

2 πn

Zyklus:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} sec (x) 1 \frac{2 3}{3} 22 Undefined - 2 - 2 - \frac{2 3}{3} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} sec (x) - 1 - \frac{2 3}{3} - 2 - 2 Undefined 22 \frac{2 3}{3}

y = \frac{2 π}{3} + 2 πn, y = \frac{4 π}{3} + 2 πn

y = \frac{2 π}{3} + 2 πn, y = \frac{4 π}{3} + 2 πn

so l v e f or θ, y = - 2 + cos (3 θ)

cos (2 x) + 5 \cdot cos (x) = - 3

cos (x - \frac{3 π}{2}) = \frac{1}{2}

so l v e f or x, sin (\frac{π}{x}) = y - 1

270 = 69 - tan (4 5^{\circ} + (\frac{x}{2}))