CBSE Board Practice

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CBSE Grade X - Introduction to Trigonometry

Question 1

1.	Find angle   θ   such that   sin θ = 0.8261 From Table of Natural Sines x° 0' 6' 12' 18' 24' 30' 36' 42' 48' 54' 1' 2' 3' 4' 5' 55 0.8192 0.8202 0.8211 0.8221 0.8231 0.8241 0.8251 0.8261 0.8271 0.8281 2 3 5 7 8
	55 °   32 '   55 °   52 '   55 °   47 '   55 °   42 '   55 °   37 '

Question 2

2.	In the given figure, △EGF is right angled at F. If EF = 7 cm and ∠G = 30°, find FG
	7 √ 18 cm 21 2 √ 2 cm 21 cm 7 √ 3 cm 7 cm

Question 3

3.	In the given figure, △EFG is right angled at F. If FG = 10 cm and ∠G = 45°, find EF and EG
	8 cm & 23 cm 10 cm & 10 √ 2 cm 11 cm & 23 cm 11 cm & 20 cm 11 cm & 10 √ 2 cm

Question 4

4.	The value of tan 358° in terms of an angle between 0° and 90° is
	tan 88°   −   cot 88°   −   tan 88° cot 88°

Question 5

5.	Which of the following are true?
	a) cot ( 90   −   θ ) = tan θ b) sin ( 90   −   θ ) =   −   sin θ c) cos ( 90   −   θ ) = sin θ d) sin ( 90   −   θ ) = cos θ e) cos ( 90   −   θ ) =   −   cos θ f) tan ( 90   −   θ ) = cot θ
	{b,e,d} {e,c} {b,a} {b,f,a} {a,c,d,f}

Question 6

6.	tan 48° =
	tan 80°   +   tan 32°     1   +   tan 80° tan 32°     tan 80°   −   tan 32°     1   −   tan 80° tan 32°     tan 80°   −   tan 32°     1   +   tan 80° tan 32°     tan 80°   +   tan 32°     1   −   tan 80° tan 32°

Question 7

7.	cosec 84°   −   sec 6° =
	1 2 sin 84° 2 sin 6° -1 0

Question 8

8.	Given   cosec H = 17 8 , find   tan H
	15 8 8 17 17 15 8 15 15 17

Question 9

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

Question 10

10.	Express   cos θ   in terms of   sin θ
	sin θ     √ 1   −   sin 2   θ     √ 1   −   sin 2   θ     1     √ 1   −   sin 2   θ     √ 1   −   sin 2   θ     sin θ     1     sin θ

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