Free Printable 10th chp 8 Introduction to Trigonometry

1.

If $\cos\theta$ = $\frac{1}{2}$ , then find value of $\left(\sec\theta\ -\ \cos\theta\right)$

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{1}{\sqrt{3}}$

d)

$\sqrt{3}$

2.

Value of $\frac{\tan45^{\circ}\ }{\sin30^{\circ}\ +\ \cos\ 60^{\circ}}$ = ?

a)

3

b)

1

c)

2

d)

$\sqrt{3}$

3.

$5\sec^2\theta\ -\ 5\tan^2\theta$ = ?

a)

9

b)

5

c)

1

d)

0

4.

ratio of sides of a right triangle with respect to its acute angles are known as

a)

trigonometric identities

b)

trigonometry

c)

trigonometric ratios of angles

d)

none of these

5.

reciprocal of cot A is

a)

cosec A

b)

tan A

c)

sin A

d)

cos A

6.

In the given figure, if AB = 14 cm, then the value of tan B is

a)

$\frac{4}{3}$

b)

$\frac{14}{3}$

c)

$\frac{5}{3}$

d)

$\frac{13}{3}$

7.

In

\Delta

ABC, right angled at B, AB = 5 cm and sin C =

\frac{1}{2}

. Determine the length of side AC.

a)

12 cm

b)

10 cm

c)

8 cm

d)

14 cm

8.

If 3 cot $\theta$ = 2, then value of tan $\theta$ = ?

a)

$\frac{2}{3}$

b)

$\frac{3}{2}$

c)

$\frac{3}{\sqrt{13}}$

d)

$\frac{2}{\sqrt{13}}$

9.

The value of $\sin^230^{\circ}\ -\ \cos^230^{\circ\ }$ is ...?

a)

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

b)

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

c)

$\frac{3}{2}$

d)

$\frac{2}{3}$

10.

If $\Delta$ ABc is right triangle at C, then the value of cos(A+B) is ..?

a)

0

b)

1

c)

$\frac{1}{2}$

d)

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

11.

If sin A = cos A, $0^{\circ}\ <\ A\ <\ 90^{\circ}\$ , then A is equal to ..

a)

$30^{\circ}$

b)

$45^{\circ}$

c)

$60^{\circ}$

d)

$90^{\circ}$

12.

Evaluate $\sin^260^{\circ}\ +\ 2\ \tan\ 45^{\circ}\ -\ \cos^230^{\circ}$ =?

a)

0

b)

1

c)

2

d)

3

13.

tan A = ?

a)

$\frac{\cos\ A}{\sqrt{1\ -\ \cos^2A}}$

b)

$\frac{\sec\ A}{\sqrt{1\ -\ \sec^2A}}$

c)

$\frac{\sin\ A}{\sqrt{1\ -\ \sin^2A}}$

d)

$\frac{1}{\sqrt{1\ -\ \sin^2A}}$

14.

If cosec A - cot A = $\frac{4}{5}$ , then cosec A = ?

a)

$\frac{47}{40}$

b)

$\frac{59}{40}$

c)

$\frac{51}{40}$

d)

$\frac{41}{40}$

15.

If sin $\theta$ - cos $\theta$ = 0 , then value of $\left(\sin^4\ \theta\ +\ \cos^4\theta\right)$ = ?

a)

1

b)

$\frac{3}{4}$

c)

$\frac{1}{2}$

d)

$\frac{1}{4}$

16.

If tan A = $\frac{5}{12}$ , then value of (sin A + cos A) = ?

a)

$\frac{13}{17}$

b)

$\frac{17}{13}$

c)

$\frac{12}{5}$

d)

$\frac{25}{169}$

17.

Value of $\sqrt{\frac{1\ -\ \sin^260^{\circ}}{2}}$

a)

$\frac{\sqrt{2}}{4}$

b)

$\frac{4}{2\sqrt{2}}$

c)

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

d)

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

18.

If $7\sin^2\theta\ +\ 3\cos^2\theta\ =\ 4$ = 4, then value of tan $\theta$ = ?

a)

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

b)

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

c)

$\frac{1}{\sqrt{3}}$

d)

$\frac{4}{\sqrt{3}}$

10th chp 8 Introduction to Trigonometry

Total questions: 18

Worksheet time: 12mins

Similar Resources on Wayground