Ecuatii trigonometrice

Ecuatii trigonometrice

Assessment

Assessment

Created by

uefgf y

Mathematics

1st - 10th Grade

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Hard

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10 questions

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1.

Multiple Choice

30 sec

1 pt

Ecuatia cosx=1 are soluțiile 

±π2+kπ,kZ\pm\frac{\pi}{2}+k\pi,k\in Z

±πk,kZ\pm\pi k,k\in Z

2kπ,kZ2k\pi,k\in Z

±π4+2kπ,kZ\pm\frac{\pi}{4}+2k\pi,k\in Z

2.

Multiple Choice

30 sec

1 pt

Ecuatia sinx= - 2 are solutiile

(1)karcsin(2)±kπ,kZ\left(-1\right)^k\arcsin\left(-2\right)\pm k\pi,k\in Z

n-are solutii

±2kπ,kZ\pm2k\pi,k\in Z

π2+2kπ,kZ\frac{\pi}{2}+2k\pi,k\in Z

3.

Multiple Choice

30 sec

1 pt

DVA al ecuaței  tgx=2 este:

R{π2+kπ,kZ}R\ne\left\{\frac{\pi}{2}+k\pi,k\in Z\right\}

{π2+kπ,kZ}\left\{\frac{\pi}{2}+k\pi,k\in Z\right\}

R{kπ,kZ}R\ne\left\{k\pi,k\in Z\right\}

{πk,kZ}\left\{\pi k,k\in Z\right\}

4.

Multiple Choice

30 sec

1 pt

 2sin2x+5sinx=3 este ecuatie:2\sin^2x+5\sin x=3\ este\ ecuatie:  

Trigonometrica fundamentala

Trigonometrica omogena

Trigonometrica reductibila la ecuatii algebrica

Nu este ecuatie trigonometrica

5.

Multiple Choice

30 sec

1 pt

 Ecuatia 2sinx=0 are solutiileEcuatia\ 2\sin x=0\ are\ solutiile  

 {±π2+kπ,kZ}\left\{\pm\frac{\pi}{2}+k\pi,k\in Z\right\}  

 RR  

 {kπ,kZ}\left\{k\pi,k\in Z\right\}  

Nu are solutii

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