ICSE Board Practice

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ICSE Grade IX - Trigonometrical Ratios

Question 1

1.	Given   cos E = 12 13 , find   sin E
	13 5 12 5 5 12 5 13 13 12

Question 2

2.	Given   sin P = 4 5 , find   sec P
	4 3 3 5 5 3 5 4 3 4

Question 3

3.	In the given figure, if   DF + EF = 32 cm , and DE = 8 cm , find tan D
	17 8 15 8 13 8 5 2 3 2

Question 4

4.	Given   cot P = √ 3 , find   cosec P
	1 2 2 1 3 √ 3 1 2 √ 3 2 3 √ 3

Question 5

5.	cosec 7° sec 83° =
	-1 1 tan 83° 0 tan 7°

Question 6

6.	Given   sin A = 1 4 , find   cosec A
	4 15 √ 15 √ 15 4 1 15 √ 15 1 4 √ 15

Question 7

7.	A tower stands vertically on the ground. The height of the tower is 30 m . The distance between the observation point and its top is 60 m . Find the angle of elevation.
	45° 90° 60° 75° 30°

Question 8

8.	In   △HIJ , right angled at   I , if   tan H = 3 4   , find   cos H cos J   −   sin H sin J
	4 5 5 4 0 5 3 3 5

Question 9

9.	sin 72° cos 18° =
	0 tan 18° 1 -1 tan 72°

Question 10

10.	In the given figure, △DEF is right angled at E. If EF = 12 cm and ∠F = 30°, find DE and DF
	4 4 √ 3 cm & 27 cm 4 cm & 27 cm 4 √ 3 cm & 8 √ 3 cm 4 4 √ 3 cm & 8 √ 3 cm 4 4 √ 3 cm & 24 cm

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