ICSE Board Practice

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ICSE Grade IX - Trigonometrical Ratios

Question 1

1.	tan 38°   +   cot 54° =
	cot 52°   +   tan 36° cot 38°   +   tan 54° cot 52°   +   cot 36° tan 38°   +   tan 54°

Question 2

2.	Given   tan M = 4 3 , find   cos M
	5 3 5 4 4 5 3 5 3 4

Question 3

3.	A building stands vertically on the ground. From a point on the ground, the angle of elevation of the top of the building is found to be 30° . If the height of the building is 70 m , find the distance between the observation point and the foot of the building .
	210 m 70 √ 18 m 105 √ 2 m 70 √ 3 m 70 m

Question 4

4.	From the given figure, find   sin ( 90   −   E )
	DE CD CD DE CE CD CD CE DE CE

Question 5

5.	sec 80°   −   cosec 10° =
	-1 0 1 2 sin 10° 2 sin 80°

Question 6

6.	sec 14° cosec 19°   −   cosec 76° sec 71° =
	1 2 sin 19° 2 sin 14° -1 0

Question 7

7.	In the given figure, sin B =
	BC DC CD CB DC BC ED EC CD BD

Question 8

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

Question 9

9.	Given   cos J = 12 13 , find   sec J
	13 5 12 5 13 12 5 13 5 12

Question 10

10.	In the given figure, △GIH is right angled at H. If GH = 8 cm and ∠I = 30°, find GJ
	4 cm 2 cm 3 cm 7 cm 5 cm

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