sin(x)= 3/5 , pi/2 <= x<= pi

Lösung

sin (x) = \frac{3}{5}, \frac{π}{2} \leq x \leq π

x = π - 0.64350 \dots

Grad

x = 143.13010 \dots^{\circ}

Schritte zur Lösung

sin (x) = \frac{3}{5}, \frac{π}{2} \leq x \leq π

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{3}{5}

Allgemeine Lösung für

sin (x) = \frac{3}{5}

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

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

x = arcsin (\frac{3}{5}) + 2 πn, x = π - arcsin (\frac{3}{5}) + 2 πn

Lösungen für den Bereich

\frac{π}{2} \leq x \leq π

x = π - arcsin (\frac{3}{5})

Zeige Lösungen in Dezimalform

x = π - 0.64350 \dots

cos (2 θ) - sin (2 θ) = 0

2 sin (x) \cdot cos (x) = cos (x)

4 sin (x) + 3 csc (x) = 7, 0^{\circ} \leq x \leq 36 0^{\circ}

\frac{1}{cos ( x )} = 3

2 sin (x) cos (x) = \frac{3}{2}