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Trigonometry #23 --- NO CALCULATOR

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

What is sin210 °\degree  

a)

- 0.8

b)

0.5

c)

 32\frac{\sqrt{3}}{2}  

d)

- 0 .5

2.

In triangle ABC, AB = 12, AC =8 and  A =  \frac{\pi}{4}  

Find the area of the triangle

a)

24 2\sqrt{2}  

b)

13 3\sqrt{3}  

c)

48

d)

30

3.

How many solutions are there for  tan⁡23x = 0.7 ?        0≤x≤180\tan^23x\ =\ 0.7\ ?\ \ \ \ \ \ \ \ 0\le x\le180  

a)

4

b)

6

c)

8

d)

12

4.

If  cos⁡x=0.6,\cos x=0.6,  find  cos⁡2x\cos2x  

a)

1.2

b)

0.36

c)

- 0.28

d)

- 0.6

5.

In right-angled triangle ABC, AB = 6, AC = 8 and BC is the hypotenuse. Find  sin⁡B\sin B  

a)

0.8

b)

0.6

c)

0.75

d)

0.68

6.

The central angle of a sector is 0.8 radian. The radius of the circle is 12cm. Find the perimeter of the sector

a)

9.6 cm

b)

19.2 cm

c)

24.8 cm

d)

33.6 cm

7.

The area of a unit circle NOT covered by an inscribed square is …

a)

π−222\frac{\pi-2\sqrt{2}}{2}

b)

3π4\frac{3\pi}{4}

c)

π−2\pi-2

d)

π−12\frac{\pi-1}{2}

8.

Solve the equation  3cos⁡x−2sin⁡2x=0    0≤x≤90°3\cos x-2\sin^2x=0\ \ \ \ 0\le x\le90\degree  

a)

30 °\degree  

b)

45 °\degree  

c)

60 °\degree  

d)

90 °\degree  

9.

If  cos⁡x=0.8\cos x=0.8  find  tan⁡x\tan x  

a)

1.2

b)

1.3

c)

0.75

d)

0.6

10.

If  \sin x=\frac{1}{3}  , find the exact value of  \sin2x  

a)

 3\sqrt{3}  

b)

 429\frac{4\sqrt{2}}{9}  

c)

 324\frac{3\sqrt{2}}{4}  

d)

 2102\sqrt{10}