ICSE Board Practice

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ICSE Grade IX - Trigonometrical Ratios

Question 1

1.	Given that 5 cosec θ  =  13 , find       sec θ
	12 5 5 12 5 13 13 12 12 13

Question 2

2.	In the given figure, △FGH is right angled at G. If GH = 12 cm and ∠H = 60°, find FG and FH
	12 √ 3 cm & 24 cm 12 4 √ 3 cm & 26 cm 12 4 √ 1 3 cm & 26 cm 12 4 √ 3 cm & 23 cm 12 4 √ 3 cm & 24 cm

Question 3

3.	cot B =
	1     sec B     1     tan B     1     cosec B     1     cos B     1     sin B

Question 4

4.	In the given figure, if   FH − GH = 2 cm , and FG = 10 cm , find cos F
	1 3 5 11 5 13 7 13 3 13

Question 5

5.	Which of the following are true?
	a) cos ( 90   −   θ ) =   −   cos θ b) tan ( 90   −   θ ) = cot θ c) cos ( 90   −   θ ) = sin θ d) cot ( 90   −   θ ) = tan θ e) sin ( 90   −   θ ) = cos θ f) sin ( 90   −   θ ) =   −   sin θ
	{a,b} {a,f,d} {f,c} {a,e,b} {b,c,d,e}

Question 6

6.	Given   sin A = 1 3 , find   cosec A
	2 3 √ 2 3 3 4 √ 2 1 4 √ 2 2 √ 2

Question 7

7.	In △PQR , right angled at Q , if PQ = 24 cm and QR = 10 cm , find cosec R
	13 14 13 10 13 12 11 12 5 4

Question 8

8.	Given   cos F = 3 5 , find   cosec F
	3 4 5 3 4 5 4 3 5 4

Question 9

9.	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 30° . If the height of the radio tower is 200 m , find the distance between the observation point and the top of the radio tower .
	401 m 397 m 403 m 400 m 399 m

Question 10

10.	From the given figure, find   cos ( 90   −   C )
	AB BC BC AB BC AC AB AC AC BC

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