cos(a)= 1/(sqrt(3))

Lösung

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

a = 0.95531 \dots + 2 πn, a = 2 π - 0.95531 \dots + 2 πn

Radianten

a = 0.95531 \dots + 6.28318 \dots n, a = 5.32786 \dots + 6.28318 \dots n

Schritte zur Lösung

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

Vereinfache

\frac{1}{3} : \frac{3}{3}

\frac{1}{3}

Multipliziere mit dem Konjugat

\frac{3}{3}

= \frac{1 \cdot 3}{3 3}

1 \cdot 3 = 3

33 = 3

33

Wende Radikal Regel an:

a a = a

33 = 3

= 3

= \frac{3}{3}

cos (a) = \frac{3}{3}

Wende die Eigenschaften der Trigonometrie an

cos (a) = \frac{3}{3}

Allgemeine Lösung für

cos (a) = \frac{3}{3}

cos (x) = a \Rightarrow x = arccos (a) + 2 πn, x = 2 π - arccos (a) + 2 πn

a = arccos (\frac{3}{3}) + 2 πn, a = 2 π - arccos (\frac{3}{3}) + 2 πn

a = arccos (\frac{3}{3}) + 2 πn, a = 2 π - arccos (\frac{3}{3}) + 2 πn

Zeige Lösungen in Dezimalform

a = 0.95531 \dots + 2 πn, a = 2 π - 0.95531 \dots + 2 πn

tan (θ) = - \frac{7}{4}

sec (y) = (\frac{5}{4})

\frac{sin ( 6 5 ^{\circ} )}{5} = \frac{sin ( x )}{4}

1.33 \cdot sin (6 0^{\circ}) = 1.52 \cdot sin (x)

tan (x) = - 3 cos (x) tan (x)