ICSE Board Practice

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ICSE Grade X - Trigonometrical Identities

Question 1

1.	If sin 2 B  =  2 sin B , then B =
	60° 45° 90° 30° 0°

Question 2

2.	sec 60° =
	3 2 0 5 1

Question 3

3.	Express   cosec 70°   in terms of   sin 70°
	√ 1   −   sin 2   70°     1     sin 70°     sin 70°     √ 1   −   sin 2   70°     √ 1   −   sin 2   70°     sin 70°     1     √ 1   −   sin 2   70°

Question 4

4.	Given   tan J = 4 3 , find   cos J
	4 5 5 4 3 4 5 3 3 5

Question 5

5.	1   −   tan 2   θ 1   +   tan 2   θ =
	tan 2 θ cot 2 θ sin 2 θ cos 2 θ

Question 6

6.	In the given figure, △FHG is right angled at G. If FG = 25 cm and ∠H = 60°, find GH
	25 3 √ 18 cm 25 cm 25 3 √ 3 cm 25 3 cm 25 2 √ 2 cm

Question 7

7.	Given that 8 cot θ  =  15 , find       sin θ
	17 15 8 17 8 15 15 17 17 8

Question 8

8.	cos 90° =
	( − 2 ) 2 1 ( − 1 ) 0

Question 9

9.	Given   cos B = 2 5 √ 6 , find   tan B
	2 √ 6 5 5 12 √ 6 1 12 √ 6 1 5

Question 10

10.	Find the value of       ( 1   +   tan θ   +   sec θ ) ( 1   +   cot θ   −   cosec θ )
	2 3 5 (-1) 1

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