ICSE Board Practice

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ICSE Grade IX - Trigonometrical Ratios

Question 1

1.	Given   cot F = 1 2 √ 5 , find   tan F
	3 5 √ 5 2 5 √ 5 2 3 1 3 √ 5 3 2

Question 2

2.	Given that 3 cosec θ  =  5 , find       sin θ
	5 4 4 5 3 4 3 5 4 3

Question 3

3.	Given   tan B = 4 3 , find   sin B
	3 5 3 4 4 5 5 4 5 3

Question 4

4.	In the given figure, if   CE − DE = 2 cm , and CD = 6 cm , find tan C
	4 3 2 3 4 5 4 2

Question 5

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

Question 6

6.	Given that 5 sin θ  =  4 , find       tan θ
	3 5 3 4 4 3 5 4 5 3

Question 7

7.	sin 45° cos 45° =
	0 -1 tan 45° 1

Question 8

8.	tan 35° =
	tan 50°   −   tan 15°     1   −   tan 50° tan 15°     tan 50°   −   tan 15°     1   +   tan 50° tan 15°     tan 50°   +   tan 15°     1   −   tan 50° tan 15°     tan 50°   +   tan 15°     1   +   tan 50° tan 15°

Question 9

9.	Find the area of an isosceles triangle with base 8 cm and vertical angle 31°
	59.6992 cm 58.6992 cm 57.6992 cm 56.6992 cm

Question 10

10.	In △GHI , right angled at H , if GH = 35 cm and HI = 12 cm , find cos G
	35 39 1 33 37 35 37

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