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Worksheets

Арксинус и арккосинус числа

Total questions: 24

Worksheet time: 13mins

Name
Class
Date
1.

arcsin 12=\arcsin\ \frac{1}{2}=  

a)

π3\frac{\pi}{3}  

b)

π6\frac{\pi}{6}

c)

π4\frac{\pi}{4}

d)

π2\frac{\pi}{2}

e)

5π6\frac{5\pi}{6}

2.

arcsin( 12)=\arcsin\left(-\ \frac{1}{2}\right)=  

a)

π3-\frac{\pi}{3}  

b)

π6-\frac{\pi}{6}

c)

π6\frac{\pi}{6}

d)

π2\frac{\pi}{2}

e)

±π6\pm\frac{\pi}{6}

3.

arccos 12=\arccos\ \frac{1}{2}=  

a)

π3\frac{\pi}{3}  

b)

π6\frac{\pi}{6}

c)

π4\frac{\pi}{4}

d)

π2\frac{\pi}{2}

e)

2π3\frac{2\pi}{3}

4.

arccos( 12)=\arccos\left(-\ \frac{1}{2}\right)=  

a)

π3\frac{\pi}{3}  

b)

π6\frac{\pi}{6}

c)

±π3\pm\frac{\pi}{3}

d)

π3-\frac{\pi}{3}

e)

2π3\frac{2\pi}{3}

5.

arccos( 22)=\arccos\left(-\ \frac{\sqrt[]{2}}{2}\right)=  

a)

π3\frac{\pi}{3}  

b)

5π6\frac{5\pi}{6}

c)

±π4\pm\frac{\pi}{4}

d)

π4-\frac{\pi}{4}

e)

3π4\frac{3\pi}{4}

6.

arccos 22=\arccos\ \frac{\sqrt[]{2}}{2}=  

a)

π3\frac{\pi}{3}  

b)

5π6\frac{5\pi}{6}

c)

±π4\pm\frac{\pi}{4}

d)

π4\frac{\pi}{4}

e)

3π4\frac{3\pi}{4}

7.

arcsin 22=\arcsin\ \frac{\sqrt[]{2}}{2}=  

a)

π3\frac{\pi}{3}  

b)

5π6\frac{5\pi}{6}

c)

±π4\pm\frac{\pi}{4}

d)

π4\frac{\pi}{4}

e)

3π4\frac{3\pi}{4}

8.

arcsin( 22)=\arcsin\left(-\ \frac{\sqrt[]{2}}{2}\right)=  

a)

π3\frac{\pi}{3}  

b)

5π6\frac{5\pi}{6}

c)

±π4\pm\frac{\pi}{4}

d)

π4-\frac{\pi}{4}

e)

3π4\frac{3\pi}{4}

9.

arcsin( 32)=\arcsin\left(-\ \frac{\sqrt[]{3}}{2}\right)=  

a)

π3-\frac{\pi}{3}  

b)

2π3\frac{2\pi}{3}

c)

±π3\pm\frac{\pi}{3}

d)

π6-\frac{\pi}{6}

e)

3π4\frac{3\pi}{4}

10.

arccos( 32)=\arccos\left(-\ \frac{\sqrt[]{3}}{2}\right)=  

a)

π6-\frac{\pi}{6}  

b)

2π3\frac{2\pi}{3}

c)

±5π6\pm\frac{5\pi}{6}

d)

5π6-\frac{5\pi}{6}

e)

5π6\frac{5\pi}{6}

11.

arccos32=\arccos\frac{\sqrt[]{3}}{2}=  

a)

π6-\frac{\pi}{6}  

b)

π3\frac{\pi}{3}

c)

π6\frac{\pi}{6}

d)

±π6\pm\frac{\pi}{6}

e)

5π6\frac{5\pi}{6}

12.

arcsin32=\arcsin\frac{\sqrt[]{3}}{2}=  

a)

π6-\frac{\pi}{6}  

b)

π3\frac{\pi}{3}

c)

π6\frac{\pi}{6}

d)

±π3\pm\frac{\pi}{3}

e)

5π6\frac{5\pi}{6}

13.

arcsin1=\arcsin1=  

a)

π2-\frac{\pi}{2}  

b)

π2\frac{\pi}{2}

c)

00

d)

π\pi

e)

11

14.

arcsin(1)=\arcsin\left(-1\right)=  

a)

π2-\frac{\pi}{2}  

b)

π2\frac{\pi}{2}

c)

00

d)

π\pi

e)

1-1

15.

arccos(1)=\arccos\left(-1\right)=  

a)

π2-\frac{\pi}{2}  

b)

π2\frac{\pi}{2}

c)

00

d)

π\pi

e)

1-1

16.

arccos1=\arccos1=  

a)

π2-\frac{\pi}{2}  

b)

π2\frac{\pi}{2}

c)

00

d)

π\pi

e)

1-1

17.

arccos0=\arccos0=  

a)

π2-\frac{\pi}{2}  

b)

π2\frac{\pi}{2}

c)

00

d)

π\pi

e)

11

18.

arcsin0=\arcsin0=  

a)

π2-\frac{\pi}{2}  

b)

π2\frac{\pi}{2}

c)

00

d)

π\pi

e)

11

19.

Выберите верные утверждения:

если  arcsin a=β\arcsin\ a=\beta  , то

a)

sinβ=a\sin\beta=a   

b)

a[1;1]a\in\left[-1;1\right]  

c)

β[π2;π2]\beta\in\left[-\frac{\pi}{2};\frac{\pi}{2}\right]  

d)

β[0;π]\beta\in\left[0;\pi\right]

e)

sina=β\sin a=\beta

20.

Выберите верные утверждения:

если  arccos a=β\arccos\ a=\beta  , то

a)

cosβ=a\cos\beta=a   

b)

a[1;1]a\in\left[-1;1\right]  

c)

β[π2;π2]\beta\in\left[-\frac{\pi}{2};\frac{\pi}{2}\right]  

d)

β[0;π]\beta\in\left[0;\pi\right]

e)

cosa=β\cos a=\beta

21.

arcsin(β)=\arcsin\left(-\beta\right)=

a)

arcsinβ-\arcsin\beta  

b)

arcsinβ\arcsin\beta  

c)

πarcsinβ\pi-\arcsin\beta  

d)

π2arcsinβ\frac{\pi}{2}-\arcsin\beta

22.

arccos(β)=\arccos\left(-\beta\right)=

a)

arccosβ-\arccos\beta  

b)

arccosβ\arccos\beta  

c)

πarccosβ\pi-\arccos\beta  

d)

π+arccosβ\pi+\arccos\beta

23.

arcsinπ=\arcsin\pi=  

a)

π2-\frac{\pi}{2}  

b)

_

c)

00

d)

π\pi

e)

11

24.

arccos π2=\arccos\ \frac{\pi}{2}=  

a)

π2-\frac{\pi}{2}  

b)

_

c)

00

d)

π\pi

e)

11