Free Printable XI - Trigonometry

1.

The value of $Cos\ \frac{4\pi}{3}$ is

a)

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

b)

$-\frac{1}{2}$

c)

$\frac{1}{2}$

d)

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

2.

Find side AB?

a)

20 m

b)

5 m

c)

11.54 m

d)

8.66 m

3.

Convert 510^o to Radians

a)

25π / 3

b)

23π / 8

c)

17π / 6

d)

51π / 8

4.

Convert 35π / 18 radians into degrees

a)

350^o

b)

340^o

c)

355^o

d)

345⁰

5.

Convert -40^o into Radians

a)

-4π / 8

b)

-8π / 9

c)

-2π / 9

d)

-5π / 8

6.

Convert 7π/ 6 radians into degrees

a)

225

b)

210

c)

270

d)

240

7.

Identify the period.

a)

$\frac{\pi}{2}$

b)

$\pi$

c)

$2\pi$

d)

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

8.

sin 111º is equal to

a)

-sin 69º

b)

sin 69º

c)

-sin 9º

d)

sin 9º

9.

cos 125º is equal to

a)

-cos 75º

b)

-cos 55º

c)

cos 55º

d)

cos 75º

10.

Find the exact value

a)

√3

b)

-√3

c)

1/2

d)

-1/2

11.

cosα cosβ + sinα sinβ =

a)

sin (α + β)

b)

sin (α - β)

c)

cos (α + β)

d)

cos (α - β)

12.

a)

tan (a + b)

b)

tan (a - b)

c)

cos (a + b)

d)

cos (a - b)

13.

cos40° cos20° - sin40° sin20° =

a)

sin (20°)

b)

1/2

c)

cos (20°)

d)

√3/2

14.

What is the reference angle of 300⁰?

a)

0⁰

b)

30⁰

c)

45⁰

d)

60⁰

15.

cos2u =

a)

2(sinu)(cosu)

b)

$\cos^2u\ -\sin^2u$

c)

$2\cos^2u-2$

d)

$\sin^2u\ -\ \cos^2u$

16.

Find the value of $\sin\ 75^{\degree}$

a)

$\frac{\left(1+\sqrt{3}\right)}{2}$

b)

$\frac{\left(1+\sqrt{3}\right)}{2\sqrt{2}}$

c)

$\frac{\left(\sqrt{3\ }-1\right)}{2}$

d)

$\frac{\left(\sqrt{3}-1\right)}{2\sqrt{2}}$

17.

evaluate tan75+tan15

a)

4

b)

¹²

c)

2

d)

1

18.

evaluate cos75*cos15

a)

4

b)

1/4

c)

3/4

19.

Please choose the correct sum and difference formula:
tan (α-β) =

a)

(tan α + tan β) / (1 - tan α tan β)

b)

(tan α - tan β) / (1 + tan α tan β)

c)

(1 - tan α tan β) / (tan α + tan β)

d)

(1 - tan α tan β) / (tan α + tan β)

20.

Simplify. (secx-1)(secx+1)

a)

tan²x

b)

sinx

c)

cot²x

d)

cosx

21.

cos (360° - x) =

a)

cosx

b)

sinx

c)

-cosx

d)

-sinx

22.

Find the value of $\theta$ , given that

$\tan\theta\ =\ -\tan\ \frac{3\pi}{5}$ and $\pi\ <\ \theta\ <\ 2\pi$

a)

$\theta\ =\ \frac{8\pi}{5}$

b)

$\theta\ =\ \frac{7\pi}{5}$

c)

$\theta\ =\ \frac{6\pi}{5}$

d)

$\tan\theta\ \ne\ -\tan\ \frac{3\pi}{5}\$ for all $\theta$ between $\pi\ \$ and $2\pi$

23.

Find the value of $\theta$ , given that $\sin\ \theta\ =\sin\ \frac{34\pi}{9}$ and $\frac{\pi}{2}\ <\ \theta\ <\ \frac{3\pi}{2}$

a)

$\theta\ =\ -\ \frac{2\pi}{9}$

b)

$\theta\ =\ -\frac{8\pi}{9}$

c)

$\theta\ =\ -\frac{7\pi}{9}$

d)

$\theta\ =\ -\ \frac{11\pi}{9}$

24.

Find the value of $\theta$ , given that $\cos\ \theta$ = $-\ \cos\ \left(\frac{25\pi}{8}\right)$ and $\pi\ <\ \theta\ <\ \frac{3\pi}{2}$

a)

$\theta\ =\ \frac{\pi}{8}$

b)

$\theta\ =\ \frac{25\pi}{8}$

c)

$\theta\ =\ \frac{15\pi}{8}$

d)

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

25.

if $\cos^2\theta\ -\ \sin^2\theta\ =\ \frac{3}{5}$ then $\tan^2\theta\ \ =\$

a)

$\pm\frac{9}{25}$

b)

$\frac{1}{2\ }\ Or\ -2$

c)

$\frac{16}{25}$

d)

We don't have enough information to find $\tan^2\theta$ .

XI - Trigonometry

Total questions: 25

Worksheet time: 31mins

Similar Resources on Wayground