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Ponavljanje

Authored by Lucija Bralić

Mathematics

11th Grade

Used 8+ times

Ponavljanje
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10 questions

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1.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Koliko se rješenja trigonometrijske jednadžbe 3cos⁡2x+2sin⁡2x=03\cos2x+2\sin^2x=0  nalazi u intervalu [0,2π]\left[0,2\pi\right]  ?

Jedno

Dva

Tri

Četiri

2.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Ako je cos⁡x=0.6 \cos x=0.6\  i x∈<3π2, 2π>x\in<\frac{3\pi}{2},\ 2\pi>  , koliko je cos⁡(x−π3)\cos\left(x-\frac{\pi}{3}\right)  ?

−0.4472-0.4472  

−0.39282-0.39282  

0.10.1  

0.50.5  

3.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Koliko rješenja ima jednadžba 2cos⁡(3x)+1=02\cos\left(3x\right)+1=0   na intervalu [0, π]\left[0,\ \pi\right]  ?

Jedno

Dva

Tri

Četiri

4.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Koja od navedenih jednadžbi nema realnih rješenja?

x−3x=0\frac{x-3}{x}=0  

x−3=0\sqrt[]{x-3}=0  

sin⁡x=−2\sin x=-2  

tan⁡x=−2\tan x=-2  

5.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Riješi jednadžbu tan⁡x+4tan⁡x=4\tan x+\frac{4}{\tan x}=4  .

x=1.1071+2kπ, k∈Zx=1.1071+2k\pi,\ k\in Z  

x=π3+kπ, k∈Zx=\frac{\pi}{3}+k\pi,\ k\in Z  

x=1.1771+kπ, k∈Zx=1.1771+k\pi,\ k\in Z  

x=1.1071+kπ, k∈Zx=1.1071+k\pi,\ k\in Z  

6.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Riješi jednadžbu 4cos⁡x=sin⁡(5π6−x)4\cos x=\sin\left(\frac{5\pi}{6}-x\right)  .

x=1.328+kπ, k∈Zx=1.328+k\pi,\ k\in Z  

x=0.524+kπ, k∈Zx=0.524+k\pi,\ k\in Z  

x=1.381+kπ, k∈Zx=1.381+k\pi,\ k\in Z  

x=1.381+2kπ, k∈Zx=1.381+2k\pi,\ k\in Z  

7.

MULTIPLE CHOICE QUESTION

10 mins • 1 pt

Riješi jednadžbu 3sin⁡x−cos⁡x=0\sqrt[]{3}\sin x-\cos x=0  .

x=−π6+2kπ, k∈Zx=-\frac{\pi}{6}+2k\pi,\ k\in Z  

x=5π6+kπ, k∈Zx=\frac{5\pi}{6}+k\pi,\ k\in Z  

x=π6+2kπ, k∈Zx=\frac{\pi}{6}+2k\pi,\ k\in Z  

x=π6+kπ, k∈Zx=\frac{\pi}{6}+k\pi,\ k\in Z  

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