CBSE Board Practice

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CBSE Grade X - Introduction to Trigonometry

Question 1

1.	Which of the following are true?
	a) tan ( 180   −   θ ) =   −   cot θ b) sin ( 180   −   θ ) = sin θ c) sin ( 180   −   θ ) = cos θ d) cos ( 180   −   θ ) =   −   cos θ e) tan ( 180   −   θ ) =   −   tan θ f) cos ( 180   −   θ ) =   −   sin θ
	{a,b} {c,b,d} {b,d,e} {c,d} {f,a,e}

Question 2

2.	Given   tan C = 3 20 √ 10 , find   cot C
	2 3 √ 10 2 7 √ 10 7 20 √ 10 7 3 3 7

Question 3

3.	If     cosec 7 x  =      sec ( ( x + 42 ) ) , then x =
	7 5 8 4 6

Question 4

4.	Which of the following are true?
	a)     cos 20°  =      cos 2   10°   −   sin 2   10° b)     sin 20°  =      2 sin 10° cos 10° c)     sin 20°  =      2 sin 2   10° cos 2   10° d)     tan 20°  =      2 tan 10°     1   +   tan 2   10° e)     tan 20°  =      2 tan 10°     1   −   tan 2   10° f)     cos 20°  =      cos 2   10°   +   sin 2   10°
	{a,b,e} {d,b} {d,a,b} {c,a} {f,c,e}

Question 5

5.	In the given figure, △ACB is right angled at B. If AB = 9 cm and ∠C = 30°, find CD
	27 cm 29 2 cm 25 2 cm 27 4 cm 27 2 cm

Question 6

6.	Given   cot A = 3 4 , find   cosec A
	3 5 5 4 4 5 5 3 4 3

Question 7

7.	Express   sec θ   in terms of   cot θ
	1     cot θ     1     √ 1   +   cot 2   θ     √ 1   +   cot 2   θ     cot θ     cot θ     √ 1   +   cot 2   θ     √ 1   +   cot 2   θ

Question 8

8.	Express   cos 57°   in terms of   sin 57°
	1     √ 1   −   sin 2   57°     √ 1   −   sin 2   57°     sin 57°     sin 57°     √ 1   −   sin 2   57°     1     sin 57°     √ 1   −   sin 2   57°

Question 9

9.	The value of cos 24° in terms of an angle between 0° and 90° is
	−   sin 24° sin 24° cos 24°   −   cos 24°

Question 10

10.	cos 40° =
	cos 72° cos 32°   −   sin 72° sin 32°     sin 72° cos 32°   −   cos 72° sin 32°     cos 72° cos 32°   +   sin 72° sin 32°     sin 72° cos 32°   +   cos 72° sin 32°

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