Free Printable CBSE X - TRIGONOMETRIC IDENTITIES

1.

$What\ is\ the\ value\ of\ \sin^2x\ \ +\ \frac{1}{1+\tan^2x}$

a)

4

b)

3

c)

1

d)

2

2.

$\frac{\tan x}{\sec x-1}+\frac{\tan x}{\sec\ x\ +1\ }=?$

a)

2 tan x

b)

2 sec x

c)

2 tan x sec x

d)

2 cosec x

3.

$9\sec^2x\ -\ 9\tan^2x\ =\ ?$

a)

1

b)

9

c)

8

d)

0

4.

If 8 tan x = 15, then sin x – cos x is equal to

a)

7/8

b)

7/15

c)

8/15

d)

8/7

5.

secx . cosx = ?

a)

-1

b)

1

c)

0

d)

2

6.

tan x = 2/5, cos x = 5/2 then sin x ?

a)

0

b)

2

c)

3

d)

1

7.

tan x = 7/10, sin x = 2/5 then sec x = ?

a)

7/4

b)

7/11

c)

4/7

d)

11/7

8.

$\tan^2x\ -\ \sec^2x\ =\ ?$

a)

1

b)

0

c)

2

d)

-1

9.

$\left(1\ +\ \cot^2x\right)\cos^2x\ =\ ?$

a)

$\tan^2x$

b)

$\sin^2x$

c)

$\cot^2x$

d)

$\cos^2x$

10.

$\left(1\ +\ \tan^2x\right)\sin^2x\ =\ ?$

a)

$\tan^2x$

b)

$\sin^2x$

c)

1

d)

0

11.

$\left(1\ +\ \tan^2x\right)\cos^2x\ =\ ?$

a)

0

b)

$\sec^2x$

c)

1

d)

$\cos^2x$

12.

If cos x = 5/4 then sin x ?

a)

3/4

b)

4/3

c)

4/5

d)

5/4

13.

If sin x = 7/25, find the values of cos x and tan x.

a)

cos x = 24/25 and tan x = 7/24

b)

cos x = 16/25 and tan x = 11/24

c)

cos x =9/25 and tan x =7/24

d)

cos x = 24/25 and tan x = 2/11

14.

$Evaluate:2\sin^230\tan60–3\cos^260\sec^230.$

a)

$\sqrt{3\ }-\ 1$

b)

3

c)

$2-\sqrt{3}$

d)

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

15.

Given A= 60 and B = 30, Find Sin A Cos B + Cos A Sin B = ?

a)

1

b)

2

c)

3

d)

4

16.

Find , if sin (x + 36) = cos x, where x+ 36 is an acute angle.

a)

17

b)

54

c)

27

d)

36

CBSE X - TRIGONOMETRIC IDENTITIES

Total questions: 16

Worksheet time: 29mins

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