sin(x)= 15/31

Lösung

sin (x) = \frac{15}{31}

x = 0.50507 \dots + 2 πn, x = π - 0.50507 \dots + 2 πn

Grad

x = 28.93852 \dots^{\circ} + 36 0^{\circ} n, x = 151.06147 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

sin (x) = \frac{15}{31}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{15}{31}

Allgemeine Lösung für

sin (x) = \frac{15}{31}

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

x = arcsin (\frac{15}{31}) + 2 πn, x = π - arcsin (\frac{15}{31}) + 2 πn

x = arcsin (\frac{15}{31}) + 2 πn, x = π - arcsin (\frac{15}{31}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.50507 \dots + 2 πn, x = π - 0.50507 \dots + 2 πn

4 cot (θ) - 1 = 0

so l v e f or x, 4 cos^{2} (x) = 5 - 4 sin (x)

∣ cos (x) ∣ = \frac{3}{2}

tan (θ) = \frac{- 1}{3}, 0^{\circ} \leq θ \leq 36 0^{\circ}

tan (\frac{91 π}{36}) = cos (36 0^{\circ} - x)