sin(a)= pi/4

Lösung

sin (a) = \frac{π}{4}

a = 0.90333 \dots + 2 πn, a = π - 0.90333 \dots + 2 πn

Grad

a = 51.75751 \dots^{\circ} + 36 0^{\circ} n, a = 128.24248 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (a) = \frac{π}{4}

Wende die Eigenschaften der Trigonometrie an

sin (a) = \frac{π}{4}

Allgemeine Lösung für

sin (a) = \frac{π}{4}

sin (x) = a \Rightarrow x = arcsin (a) + 2 πn, x = π - arcsin (a) + 2 πn

a = arcsin (\frac{π}{4}) + 2 πn, a = π - arcsin (\frac{π}{4}) + 2 πn

a = arcsin (\frac{π}{4}) + 2 πn, a = π - arcsin (\frac{π}{4}) + 2 πn

Zeige Lösungen in Dezimalform

a = 0.90333 \dots + 2 πn, a = π - 0.90333 \dots + 2 πn

sin (x - \frac{π}{2}) = 0

tan (x) = \frac{12}{15}

cos (6 x) - cos (2 x) = 0

(2 cos (x) - 1) (cos (x) + 1) = 0

tan (2 x) = 0.5