ICSE Board Practice

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ICSE Grade IX - Trigonometrical Ratios

Question 1

1.	tan 14° =
	tan 21°   −   tan 7°     1   −   tan 21° tan 7°     tan 21°   +   tan 7°     1   +   tan 21° tan 7°     tan 21°   +   tan 7°     1   −   tan 21° tan 7°     tan 21°   −   tan 7°     1   +   tan 21° tan 7°

Question 2

2.	In △HIJ , right angled at I , if HI = 8 cm and IJ = 6 cm , find sec H
	7 4 5 4 3 4 5 2 5 6

Question 3

3.	In the given figure, sec I =
	JH JI IH IG GI HI HG HI GH GI

Question 4

4.	In the given figure, △FHG is right angled at G. If FG = 15 cm and ∠H = 45°, find GH
	16 cm 14 cm 13 cm 17 cm 15 cm

Question 5

5.	tan 70° =
	tan 50°   +   tan 20°     1   −   tan 50° tan 20°     tan 50°   −   tan 20°     1   +   tan 50° tan 20°     tan 50°   +   tan 20°     1   +   tan 50° tan 20°     tan 50°   −   tan 20°     1   −   tan 50° tan 20°

Question 6

6.	In the given figure, sin C =
	CD ED FE FD DE DC ED CD DE CE

Question 7

7.	Find the length of the chord of the unit circle subtending an angle of 123° at the centre
	1.7576 1.8576 1.6576 1.8076

Question 8

8.	cos 7°   −   sin 83° =
	1 2 sin 83° -1 2 sin 7° 0

Question 9

9.	Given   tan K = 1 3 √ 3 , find   sin K
	1 2 2 3 √ 3 2 √ 3 1 2 √ 3

Question 10

10.	Given that 3 cosec θ  =  5 , find       tan θ
	5 4 4 3 3 5 3 4 4 5

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