cos(t)= 1/3

Lösung

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

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

Grad

t = 70.52877 \dots^{\circ} + 36 0^{\circ} n, t = 289.47122 \dots^{\circ} + 36 0^{\circ} n

Schritte zur Lösung

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

Wende die Eigenschaften der Trigonometrie an

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

Allgemeine Lösung für

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

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

t = arccos (\frac{1}{3}) + 2 πn, t = 2 π - arccos (\frac{1}{3}) + 2 πn

t = arccos (\frac{1}{3}) + 2 πn, t = 2 π - arccos (\frac{1}{3}) + 2 πn

Zeige Lösungen in Dezimalform

t = 1.23095 \dots + 2 πn, t = 2 π - 1.23095 \dots + 2 πn

(1 - sin (x)) (\frac{( 1 + sin ( x ) )}{2 cos ( x )}) = 1

\frac{9.03}{sin ( 4 0 ^{\circ} )} = \frac{10}{sin ( x )}

tan (x) + sec (x) = 2

sin (x) = \frac{4}{5}, \frac{π}{2} \leq x \leq π

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