CBSE Board Practice

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CBSE Grade X - Introduction to Trigonometry

Question 1

1.	Given that 3 tan θ  =  4 , find       sec θ
	5 4 3 5 3 4 4 5 5 3

Question 2

2.	The value of sin 222° in terms of an angle between 0° and 90° is
	−   cos 42° sin 42°   −   sin 42° cos 42°

Question 3

3.	Find the value of       ( 1   +   sin θ )     ( cos θ )   +       ( cos θ )     ( 1   +   sin θ )
	2 cosec θ 2 sec θ 2 sin θ 2 cos θ

Question 4

4.	Given that 5 cot θ  =  12 , find       tan θ
	13 12 5 12 12 13 5 13 13 5

Question 5

5.	Which of the following are true?
	a) cos 45°  =  1 b) sin 90°  =  1 c) sin 0°  =  1 d) sin 45°  =  1 e) tan 0°  =  1 f) cos 0°  =  1 g) cos 90°  =  1 h) tan 90°  =  1
	{g,f,b} {c,f} {b,f} {a,b} {d,e,b}

Question 6

6.	Express   cosec θ   in terms of   sin θ
	sin θ     √ 1   −   sin 2   θ     1     sin θ     √ 1   −   sin 2   θ     √ 1   −   sin 2   θ     sin θ     1     √ 1   −   sin 2   θ

Question 7

7.	In △LMN , right angled at M , if LM = 24 cm and MN = 10 cm , find tan N
	4 2 12 7 12 5 14 5

Question 8

8.	In the given figure, △DEF is a right angle triangle with ∠F = 90° and EF = 16 cm. Q is the mid-point of DF. Find ∠QED using tables.
	13 °   54 '   15 °   54 '   11 °   54 '   16 °   54 '   10 °   54 '

Question 9

9.	sin 70° cos 20°   +   cos 70° sin 20° sin 40° cos 50°   +   cos 40° sin 50° =
	-1 0 2 undefined 1

Question 10

10.	If   sin ( C   +   D ) = 1 2 √ 3   and   sin ( C   −   D ) = 1 2   , find C & D
	C = 44° , D = 14° C = 43° , D = 13° C = 47° , D = 17° C = 45° , D = 15° C = 46° , D = 16°

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