cos(x)= 1/(sqrt(37))

Lösung

cos (x) = \frac{1}{37}

x = 1.40564 \dots + 2 πn, x = 2 π - 1.40564 \dots + 2 πn

Radianten

x = 1.40564 \dots + 6.28318 \dots n, x = 4.87753 \dots + 6.28318 \dots n

Schritte zur Lösung

cos (x) = \frac{1}{37}

Vereinfache

\frac{1}{37} : \frac{37}{37}

\frac{1}{37}

Multipliziere mit dem Konjugat

\frac{37}{37}

= \frac{1 \cdot 37}{37 37}

1 \cdot 37 = 37

3737 = 37

3737

Wende Radikal Regel an:

a a = a

3737 = 37

= 37

= \frac{37}{37}

cos (x) = \frac{37}{37}

Wende die Eigenschaften der Trigonometrie an

cos (x) = \frac{37}{37}

Allgemeine Lösung für

cos (x) = \frac{37}{37}

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

x = arccos (\frac{37}{37}) + 2 πn, x = 2 π - arccos (\frac{37}{37}) + 2 πn

x = arccos (\frac{37}{37}) + 2 πn, x = 2 π - arccos (\frac{37}{37}) + 2 πn

Zeige Lösungen in Dezimalform

x = 1.40564 \dots + 2 πn, x = 2 π - 1.40564 \dots + 2 πn

sin (x) = 0.2174

so l v e f or x, arccot (x^{2}) y = arccot (x^{2})

\frac{50}{33} = \frac{sin ( x )}{sin ( 12 0 ^{\circ} - x )}

cot (x) csc (x) = cos (x)

2 tan (x) = 2