cos(x)= 6/(sqrt(61))

Lösung

cos (x) = \frac{6}{61}

x = 0.69473 \dots + 2 πn, x = 2 π - 0.69473 \dots + 2 πn

Radianten

x = 0.69473 \dots + 6.28318 \dots n, x = 5.58844 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (x) = \frac{6}{61}

Vereinfache

\frac{6}{61} : \frac{6 61}{61}

\frac{6}{61}

Multipliziere mit dem Konjugat

\frac{61}{61}

= \frac{6 61}{61 61}

6161 = 61

6161

Wende Radikal Regel an:

a a = a

6161 = 61

= 61

= \frac{6 61}{61}

cos (x) = \frac{6 61}{61}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{6 61}{61}

Allgemeine Lösung für

cos (x) = \frac{6 61}{61}

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

x = arccos (\frac{6 61}{61}) + 2 πn, x = 2 π - arccos (\frac{6 61}{61}) + 2 πn

x = arccos (\frac{6 61}{61}) + 2 πn, x = 2 π - arccos (\frac{6 61}{61}) + 2 πn

Zeige Lösungen in Dezimalform

x = 0.69473 \dots + 2 πn, x = 2 π - 0.69473 \dots + 2 πn

sin (a + 3 0^{\circ}) = - \frac{3}{2}

cos (2 a) = 1

cos (\frac{2}{3} x) = 0

sin (2 x) cos (2 x) = 2

\frac{cos ( t )}{3 cos ( 3 t )} = 0