ICSE Board Practice

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ICSE Grade IX - Trigonometrical Ratios

Question 1

1.	In △IJK , right angled at J , if IJ = 35 cm and JK = 12 cm , find cos K
	14 37 4 13 10 37 12 35 12 37

Question 2

2.	sin 79°   −   cos 11° =
	2 sin 11° -1 1 0 2 sin 79°

Question 3

3.	tan 21° cot 69° =
	tan 69° 0 1 -1 tan 21°

Question 4

4.	Given that 4 cosec θ  =  5 , find       sec θ
	5 3 3 5 4 5 4 3 3 4

Question 5

5.	Given   sin N = 1 3 , find   sec N
	3 4 √ 2 2 √ 2 1 4 √ 2 3 2 3 √ 2

Question 6

6.	In the given figure, △EFG is right angled at F. If FG = 11 cm and ∠G = 45°, find EF and EG
	11 cm & 11 √ 2 cm 12 cm & 11 √ 2 cm 12 cm & 25 cm 10 cm & 25 cm 12 cm & 22 cm

Question 7

7.	In the given figure, △EGF is right angled at F. If EF = 9 cm and ∠G = 30°, find FG
	27 cm 9 √ 18 cm 9 cm 27 2 √ 2 cm 9 √ 3 cm

Question 8

8.	If   tan ( A   +   B ) = √ 3   and   tan ( A   −   B ) = √ 1 3   , find A & B
	A = 43° , B = 13° A = 45° , B = 15° A = 47° , B = 17° A = 46° , B = 16° A = 44° , B = 14°

Question 9

9.	cos 27° sin 63° =
	tan 63° 1 0 tan 27° -1

Question 10

10.	In   △BCD , right angled at   C , if   tan B = 2 3   , find   sin B cos D   +   cos B sin D
	1 3 √ 13 2 13 √ 13 3 13 √ 13 1 2 √ 13 1

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