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Worksheets

ტრიგონომეტრია ( I )

Total questions: 10

Worksheet time: 6mins

Name
Class
Date
1.

 sin30°=\sin30\degree=  

a)

 12\frac{1}{2}  

b)

 34\frac{3}{4}  

c)

 45\frac{4}{5}  

d)

 56\frac{5}{6}  

2.

 sin90°=\sin90\degree=  

a)

2

b)

3

c)

1

d)

0.5

3.

 sin60°=\sin60\degree=  

a)

 32\frac{\sqrt{3}}{2}  

b)

 54\frac{\sqrt{5}}{4}  

c)

 76\frac{\sqrt{7}}{6}  

d)

 75\frac{\sqrt{7}}{5}  

4.

 sin45°=\sin45\degree=  

a)

 145\frac{\sqrt{14}}{5}  

b)

 54\frac{\sqrt{5}}{4}  

c)

 34\frac{\sqrt{3}}{4}  

d)

 22\frac{\sqrt{2}}{2}  

5.

 cos45°=\cos45\degree=  

a)

 46\frac{\sqrt{4}}{6}  

b)

 35\frac{\sqrt{3}}{5}  

c)

 22\frac{\sqrt{2}}{2}  

d)

 78\frac{\sqrt{7}}{8}  

6.

 sin135°=\sin135\degree=  

a)

 sin45°\sin45\degree  

b)

 sin50°\sin50\degree  

c)

 sin55°\sin55\degree  

d)

 sin40°\sin40\degree  

7.

 sin(180α)=\sin\left(180-\alpha\right)=  

a)

 tanα\tan\alpha  

b)

 cosα\cos\alpha  

c)

 sinα\sin\alpha  

d)

 ctgα\operatorname{ctg}\alpha  

8.

 sin (α+β)=\sin\ \left(\alpha+\beta\right)=  

a)

 sinαcosβ+cosαsinα\sin\alpha\cos\beta+\cos\alpha\sin\alpha  

b)

 sinαcosβ+cosαsinβ\sin\alpha\cos\beta+\cos\alpha\sin\beta  

c)

 sinαcosα+sinβcosβ\sin\alpha\cos\alpha+\sin\beta\cos\beta  

d)

 sinβsinα+cosβcosα\sin\beta\sin\alpha+\cos\beta\cos\alpha  

9.

 sin75°=\sin75\degree=  

a)

 sin(70°+15°)\sin\left(70\degree+15\degree\right)  

b)

 sin(34°+46°)\sin\left(34\degree+46\degree\right)  

c)

 sin(50°+45°)\sin\left(50\degree+45\degree\right)  

d)

 sin(30°+45°)\sin\left(30\degree+45\degree\right)  

10.

 sin(30°+45°)=\sin\left(30\degree+45\degree\right)=  

a)

 13 ×14  + 14 ×12\frac{1}{3}\ \times\frac{1}{4\ }\ +\ \frac{1}{4\ }\times\frac{1}{2}  

b)

 22×32 + 15×32\frac{\sqrt{2}}{2}\times\frac{\sqrt{3}}{2}\ +\ \frac{1}{5}\times\frac{\sqrt{3}}{2}  

c)

 12×22 + 32×22\frac{1}{2}\times\frac{\sqrt{2}}{2}\ +\ \frac{\sqrt{3}}{2}\times\frac{\sqrt{2}}{2}  

d)

 13×34 + 22×12\frac{1}{3}\times\frac{\sqrt{3}}{4}\ +\ \frac{\sqrt{2}}{2}\times\frac{1}{2}