sin(x)= 4/(sqrt(41))

Lösung

sin (x) = \frac{4}{41}

x = 0.67474 \dots + 2 πn, x = π - 0.67474 \dots + 2 πn

Radianten

x = 0.67474 \dots + 6.28318 \dots n, x = π - 0.67474 \dots + 6.28318 \dots n

Schritte zur Lösung

sin (x) = \frac{4}{41}

Vereinfache

\frac{4}{41} : \frac{4 41}{41}

\frac{4}{41}

Multipliziere mit dem Konjugat

\frac{41}{41}

= \frac{4 41}{41 41}

4141 = 41

4141

Wende Radikal Regel an:

a a = a

4141 = 41

= 41

= \frac{4 41}{41}

sin (x) = \frac{4 41}{41}

Wende die Eigenschaften der Trigonometrie an

sin (x) = \frac{4 41}{41}

Allgemeine Lösung für

sin (x) = \frac{4 41}{41}

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

x = arcsin (\frac{4 41}{41}) + 2 πn, x = π - arcsin (\frac{4 41}{41}) + 2 πn

x = arcsin (\frac{4 41}{41}) + 2 πn, x = π - arcsin (\frac{4 41}{41}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.67474 \dots + 2 πn, x = π - 0.67474 \dots + 2 πn

sin (x) = - 1.1

cos (2 x) = 0.25

sin (x) = - 0.1

189.4 = 100 tan^{2} (4 5^{\circ} + \frac{θ}{2})

cos (2 x) = 0.98