ICSE Board Practice

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ICSE Grade IX - Trigonometrical Ratios

Question 1

1.	A radio tower stands vertically on the ground. From a point on the ground, the angle of elevation of the top of the radio tower is found to be 60° . If the height of the radio tower is 70 m , find the distance between the observation point and the foot of the radio tower .
	35 √ 2 m 70 m 70 3 m 70 3 √ 3 m 70 3 √ 18 m

Question 2

2.	cos 31° sin 29° sin 59° cos 61° =
	-1 1 tan 31° tan 29° 0

Question 3

3.	In the given figure, △CED is right angled at D. If CD = 9 cm and ∠E = 30°, find CF
	5 cm 7 2 cm 9 2 cm 17 4 cm 11 2 cm

Question 4

4.	Given that 12 tan θ  =  5 , find       cosec θ
	13 12 12 5 12 13 5 13 13 5

Question 5

5.	cos ( A   −   B ) =
	cos A cos B   +   sin A sin B     cos A cos B   −   sin A sin B     sin A cos B   +   cos A sin B     sin A cos B   −   cos A sin B

Question 6

6.	Given   cos H = 15 17 , find   cot H
	8 17 17 8 17 15 8 15 15 8

Question 7

7.	cot 30° sin 60°   −   tan 0° cos 60° =
	5 4 1 2 2 5 2 3 2

Question 8

8.	sin 0° cosec 60° sin 30°   −   cot 90° tan 45° cos 45° cosec 90° sin 45° sin 0°   −   sin 60° tan 60° cos 60° =
	0 2 ( − 1 ) 1 ( − 3 )

Question 9

9.	From the given figure, find   sin ( 90   −   H )
	GH FG GH FH FG GH FG FH FH FG

Question 10

10.	Given that 4 cot θ  =  3 , find       cos θ
	4 5 3 5 5 4 4 3 5 3

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