Quiz about Три gun ометрия

Question 1

$$\sin\ \frac{\pi}{3}=$$

Accepted Answer

$$\frac{\sqrt{3}}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt{2}}{2}$$

Answer

0

Question 2

$$\cos\ \frac{\pi}{4}=$$

Accepted Answer

$$\frac{\sqrt{2}}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt{3}}{2}$$

Answer

0

Question 3

$$\cos\ \frac{\pi}{2}=$$

Accepted Answer

0

Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt{3}}{2}$$

Answer

$$\frac{\sqrt{2}}{2}$$

Question 4

$$Решение\ уравнения\ \cos x=-1$$

Accepted Answer

$$x=\pi+2\pi k:\ k\in N$$

Answer

$$x=2\pi k;\ k\in N$$

Answer

$$x=\frac{\pi}{2}+\pi k:\ k\in N$$

Answer

$$x=\pi+\pi k:\ k\in N$$

Question 5

$$Решение\ уравнения\ \sin x=1$$

Accepted Answer

$$x=\frac{\pi}{2}+2\pi k:\ k\in N$$

Answer

$$x=2\pi k;\ k\in N$$

Answer

$$x=-\frac{\pi}{2}+2\pi k:\ k\in N$$

Answer

$$x=\frac{\pi}{2}+\pi k:\ k\in N$$

Question 6

$$Решение\ уравнения\ \cos x=-\frac{1}{2}$$

Accepted Answer

$$x=\pm\frac{2\pi}{3}+2\pi k:\ k\in N$$

Answer

$$x=\pm\frac{\pi}{3}+2\pi k;\ k\in N$$

Answer

$$x=\frac{\pi}{3}+2\pi k:\ k\in N$$

Answer

$$x=\pm\frac{2\pi}{3}+\pi k:\ k\in N$$

Question 7

$$\cos\ \frac{\pi}{4}$$

Accepted Answer

$$\frac{\sqrt{2}}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{\sqrt{3}}{2}$$

Answer

1

Question 8

$$\arccos\left(\frac{\sqrt[]{2}}{2}\right)=$$

Accepted Answer

$$\frac{\pi}{4}$$

Answer

$$\pi$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\frac{\pi}{3}$$

Question 9

$$\arcsin\left(\frac{\sqrt[]{3}}{2}\right)=$$

Accepted Answer

$$\frac{\pi}{3}$$

Answer

$$\frac{\pi}{4}$$

Answer

$$\frac{\pi}{2}$$

Answer

$$\pi$$

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