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Trigonometrija 5

Total questions: 11

Worksheet time: 1hrs 7mins

Name
Class
Date
1.

Considérons ce cercle de rayon 1. Sachant que son périmètre est de 2π, donnez la longueur de l'arc de cercle formé entre I et B.

2.

Na tej enotski krožnici navedi točko, ki ustreza π2-\frac{\pi}{2} radianom.

(a)  

3.
Question Image

Na tem trigonometričnem krogu določi pare točk, ki se ujemajo v kosinusu kota.

a)

A

1.

P

b)

B

2.

N

c)

C

3.

M

d)

J

4.

J'

e)

D

5.

K

4.
Question Image

Na tem trigonometričnem krogu se točke ujemajo v istem sinusu.

a)

I

1.

I'

b)

A

2.

F

c)

C

3.

D

d)

P

4.

G

e)

H

5.

N

5.


arcsin(0)\arcsin\left(0\right)  

a)

0

b)

1

c)

π\pi  

d)

π2\frac{\pi}{2}  

6.

Določi amplitudo
f(x)=12sin(2(xπ2))f\left(x\right)=\frac{1}{2}\sin\left(2\left(x-\frac{\pi}{2}\right)\right)  

a)

12\frac{1}{2}  

b)

π\pi  

c)

π2\frac{\pi}{2}  

d)

22  

7.

Sinus ali kosinus?

a)
y=sinx
b)
y=cosx
8.


sin(π4)\sin\left(-\frac{\pi}{4}\right)  

a)

22\frac{\sqrt{2}}{2}  

b)

π4\frac{\pi}{4}  

c)

22-\frac{\sqrt{2}}{2}  

d)

1

9.

sinθ=2\sin\theta=-2

a)

2π3 in  4π3\frac{2\pi}{3}\ in\ \ \frac{4\pi}{3}

b)

7π6  in  11π6\frac{7\pi}{6}\ \ in\ \ \frac{11\pi}{6}

c)

5π4  in  7π4\frac{5\pi}{4}\ \ in\ \ \frac{7\pi}{4}

d)

ni rešitve

10.

Katere trditve so pravilne?

a)

cosx=cos(x+π)\cos x=\cos\left(x+\pi\right)

b)

cos(x)=cos(x)\cos\left(x\right)=\cos\left(-x\right)  

c)

cos(x)=cos(πx)\cos\left(x\right)=\cos\left(\pi-x\right)  

d)

cos(x)=cos(x+2π)\cos\left(x\right)=\cos\left(x+2\pi\right)  

11.

Katere trditve so pravilne?

a)

sin(x)=sin(x)\sin\left(-x\right)=-\sin\left(x\right)

b)

sin(x)=sin(x+π)\sin\left(x\right)=\sin\left(x+\pi\right)

c)

sin(x)=sin(πx)\sin\left(x\right)=\sin\left(\pi-x\right)

d)

sin(x)=sin(x+2π)\sin\left(x\right)=\sin\left(x+2\pi\right)