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三角方程式 不等式

Authored by Shunji Nishikawa

Mathematics

2nd Grade

Used 2+ times

三角方程式 不等式
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6 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 cos⁡136π=\cos\frac{13}{6}\pi=  

 12\frac{1}{2}  

 32\frac{\sqrt{3}}{2}  

- \frac{1}{2}  

- \frac{\sqrt{3}}{2}  

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 tan⁡74π\tan\frac{7}{4}\pi  =

 11  

-1

 12\frac{1}{\sqrt{2}}  

 −12-\frac{1}{\sqrt{2}}  

3.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

 0≤θ<2πのとき0\le\theta<2\piのとき  次の方程式を解け
 sin⁡θ=−12\sin\theta=-\frac{1}{2}  

 θ=76π、\theta=\frac{7}{6}\pi、   116π\frac{11}{6}\pi  

 θ=π6\theta=\frac{\pi}{6}  , 56π\frac{5}{6}\pi  

 θ=−π6\theta=-\frac{\pi}{6}  , 76π\frac{7}{6}\pi  

 θ=π3\theta=\frac{\pi}{3}  , 53π\frac{5}{3}\pi  

4.

MULTIPLE CHOICE QUESTION

45 sec • 1 pt

0≤θ<2πのとき
  次の方程式を解け

 tan⁡θ=3\tan\theta=\sqrt{3}  

 θ=π6\theta=\frac{\pi}{6}  

 θ=π3\theta=\frac{\pi}{3}  

 θ=π6\theta=\frac{\pi}{6}  , 76π\frac{7}{6}\pi  

 θ=π3\theta=\frac{\pi}{3}  , 43π\frac{4}{3}\pi  

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

0≤θ<2πのとき次の不等式を解け cos⁡θ≥32\cos\theta\ge\frac{\sqrt{3}}{2}  


 0≤θ≤π60\le\theta\le\frac{\pi}{6}  , 116π≤θ≤2π\frac{11}{6}\pi\le\theta\le2\pi  

 0\le\theta\le\frac{\pi}{6}  , 116π≤θ<2π\frac{11}{6}\pi≤θ<2π  

 −π6≤θ≤π6-\frac{\pi}{6}\le\theta\le\frac{\pi}{6}  

 π3≤θ≤23π\frac{\pi}{3}\le\theta\le\frac{2}{3}\pi  

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

0≤θ<2πのとき次の不等式を解け sin⁡θ≤12\sin\theta\le\frac{1}{2}  


 0≤θ≤π60\le\theta\le\frac{\pi}{6}  , 116π≤θ≤2π\frac{11}{6}\pi\le\theta\le2\pi  

 0≤θ≤π60≤θ\le\frac{\pi}{6}  , 56π≤θ<2π\frac{5}{6}\pi\le\theta<2\pi  

 −π6≤θ≤π6-\frac{\pi}{6}\le\theta\le\frac{\pi}{6}  

 π6≤θ≤56π\frac{\pi}{6}\le\theta\le\frac{5}{6}\pi  

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