de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Trigonometrie >

45*cos(45)

Lösung

45 \cdot cos (4 5^{\circ})

Lösung

\frac{45 2}{2}

+1

Dezimale

31.81980 \dots

Schritte zur Lösung

45 cos (4 5^{\circ})

Verwende die folgende triviale Identität:

cos (4 5^{\circ}) = \frac{2}{2}

cos (4 5^{\circ})

cos (x)

Periodizitätstabelle mit

36 0^{\circ} n

Zyklus:

x 0 3 0^{\circ} 4 5^{\circ} 6 0^{\circ} 9 0^{\circ} 12 0^{\circ} 13 5^{\circ} 15 0^{\circ} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x 18 0^{\circ} 21 0^{\circ} 22 5^{\circ} 24 0^{\circ} 27 0^{\circ} 30 0^{\circ} 31 5^{\circ} 33 0^{\circ} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= \frac{2}{2}

= 45 \cdot \frac{2}{2}

Vereinfache

45 \cdot \frac{2}{2} : \frac{45 2}{2}

45 \cdot \frac{2}{2}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 \cdot 45}{2}

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

2 = 2^{\frac{1}{2}}

= \frac{45 \cdot 2 ^{\frac{1}{2}}}{2}

Wende Exponentenregel an:

\frac{x ^{a}}{x ^{b}} = \frac{1}{x ^{b - a}}

\frac{2 ^{\frac{1}{2}}}{2 ^{1}} = \frac{1}{2 ^{1 - \frac{1}{2}}}

= \frac{45}{2 ^{1 - \frac{1}{2}}}

Subtrahiere die Zahlen:

1 - \frac{1}{2} = \frac{1}{2}

= \frac{45}{2 ^{\frac{1}{2}}}

Wende Radikal Regel an:

a^{\frac{1}{n}} = n a

2^{\frac{1}{2}} = 2

= \frac{45}{2}

Rationalisiere

\frac{45}{2} : \frac{45 2}{2}

\frac{45}{2}

Multipliziere mit dem Konjugat

\frac{2}{2}

= \frac{45 2}{2 2}

22 = 2

22

Wende Radikal Regel an:

a a = a

22 = 2

= 2

= \frac{45 2}{2}

= \frac{45 2}{2}

= \frac{45 2}{2}

Beliebte Beispiele

cos^2(30)+cos^2(60)

cos^{2} (3 0^{\circ}) + cos^{2} (6 0^{\circ})

arctan (1.11)

arccos(6/(sqrt(85)))

arccos (\frac{6}{85})

3sec(90)+2cos(pi/3)-3tan(pi/4)

3 sec (9 0^{\circ}) + 2 cos (\frac{π}{3}) - 3 tan (\frac{π}{4})

arctan (1.14)