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Trigo Gleichungen

Authored by Tóth Balázs

Mathematics

11th Grade

Used 3+ times

Trigo Gleichungen
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6 questions

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1.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Welche Funktion hat eine Periode von 2 π?

y=sinx

y=sin(x+π)

y=tgx

y=cos2x

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Bestimme die Lösungen der Gleichung.
 4sinx8=04\sin x-8=0  

 x=π2+kπ (kZ)x=-\frac{\pi}{2}+k\pi\ \left(k\in Z\right)  

 x=π3+2kπ (kZ)x=\frac{\pi}{3}+2k\pi\ \left(k\in Z\right)  

 x=π+k π2(kZ)x=\pi+k\ \frac{\pi}{2}\left(k\in Z\right)  

keine Lösung

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

 4sinx+1=04\sin x+1=0  

Bestimme die Lösungen der Gleichungen

 x1=14,48°+k360°x_1=14,48^{\degree}+k\cdot360^{\degree}   x2=194,48°+k360°x_2=194,48^{\degree}+k\cdot360^{\degree}  

 x1=345,42°+k360°x_1=345,42^{\degree}+k\cdot360^{\degree}   x2=14,48°+k360°x_2=14,48^{\degree}+k\cdot360^{\degree}  

 x1=14,48°+k360°x_1=-14,48^{\degree}+k\cdot360^{\degree}   x2=194,48°+k360°x_2=194,48^{\degree}+k\cdot360^{\degree}  

 x1=345,42°+k360°x_1=345,42^{\degree}+k\cdot360^{\degree}   x2=194,42°+k360°x_2=194,42^{\degree}+k\cdot360^{\degree}  

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

 Bestimme die Lösungen der Gleichung2cos(xπ6)=32\cdot\cos\left(x-\frac{\pi}{6}\right)=\sqrt{3}  

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5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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Bestimme die Lösengen der Gleichung

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6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

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Bestimme die Lösung der Gleichung

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