cos(pi)(0.534716)ln(0.534716)

Lösung

cos (π) (0.534716) ln (0.534716)

- \frac{133679}{250000} ln (\frac{133679}{250000})

Dezimale

0.33474 \dots

Schritte zur Lösung

cos (π) (0.534716) ln (0.534716)

= cos (π) \frac{133679}{250000} ln (\frac{133679}{250000})

Verwende die folgende triviale Identität:

cos (π) = (- 1)

cos (π)

cos (x)

Periodizitätstabelle mit

2 πn

Zyklus:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= (- 1)

= (- 1) \frac{133679}{250000} ln (\frac{133679}{250000})

Vereinfache

= - \frac{133679}{250000} ln (\frac{133679}{250000})

\frac{5}{3} (4 π + 3) sin (\frac{4 π}{3})

4 sin^{2} (40 0^{\circ})

cos (240 0^{\circ})

(sin (0))^{2}

2 cos^{2} (3 0^{\circ}) + 3 sin^{2} (3 0^{\circ})