ICSE Board Practice

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ICSE Grade X - Trigonometrical Identities

Question 1

1.	In the given figure, △CDE is a right angle triangle with ∠E = 90° and DE = 16 cm. Q is the mid-point of CE. Find ∠QDE using tables.
	13 °   6 '   19 °   6 '   14 °   6 '   16 °   6 '   18 °   6 '

Question 2

2.	The value of sec 226° in terms of an angle between 0° and 90° is
	cosec 46° sec 46°   −   cosec 46°   −   sec 46°

Question 3

3.	Given   cos D = 1 2 √ 3 , find   tan D
	1 3 √ 3 2 √ 3 1 2 2 3 √ 3

Question 4

4.	cot I =
	1     cos I     1     tan I     1     sin I     1     sec I     1     cosec I

Question 5

5.	Express   cot θ   in terms of   sin θ
	√ 1   −   sin 2   θ     sin θ     √ 1   −   sin 2   θ     √ 1   −   sin 2   θ     sin θ     1     √ 1   −   sin 2   θ     1     sin θ

Question 6

6.	Given   sin N = 1 3 , find   sec N
	3 4 √ 2 2 3 √ 2 3 1 4 √ 2 2 √ 2

Question 7

7.	The value of tan 128° in terms of an angle between 0° and 90° is
	−   tan 38°   −   cot 38° cot 38° tan 38°

Question 8

8.	Given   tan J = 1 3 √ 3 , find   cosec J
	1 2 √ 3 2 3 √ 3 √ 3 1 2 2

Question 9

9.	sin 16° cos 74° =
	-1 1 0 tan 16° tan 74°

Question 10

10.	cos 88° sin 57° sin 2° cos 33° =
	tan 57° tan 88° -1 1 0

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