ICSE Board Practice

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ICSE Grade IX - Trigonometrical Ratios

Question 1

1.	Which of the following are true?
	a) tan 0°  =  1 b) sin 45°  =  1 c) cos 45°  =  1 d) tan 90°  =  1 e) cos 90°  =  1 f) sin 90°  =  1 g) sin 0°  =  1 h) cos 0°  =  1
	{e,h,f} {c,d,f} {b,h} {f,h} {a,f}

Question 2

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

Question 3

3.	Find the area of an isosceles triangle with base 8 cm and vertical angle 30°
	58.7238 cm 59.7238 cm 61.7238 cm 60.7238 cm

Question 4

4.	cosec 45° =
	√ 2 2 √ 4 4 √ 2 √ 1 2

Question 5

5.	sin 54° =
	sin 36° cos 18°   +   cos 36° sin 18°     cos 36° cos 18°   −   sin 36° sin 18°     sin 36° cos 18°   −   cos 36° sin 18°     cos 36° cos 18°   +   sin 36° sin 18°

Question 6

6.	In the given figure, if   IK − JK = 2 cm , and IJ = 6 cm , find sin I
	4 7 4 5 4 3 6 5 2 5

Question 7

7.	sin 0° =
	0 ( − 1 ) 2 1 ( − 3 )

Question 8

8.	Find the length of the chord of the unit circle subtending an angle of 140° at the centre
	1.7794 1.9794 1.9294 1.8794

Question 9

9.	A chord of 17 cm subtends an angle of 90° at the centre. Calculate its shortest distance from the centre
	7.5 cm 10.5 cm 6.5 cm 8.5 cm 9.5 cm

Question 10

10.	In the given figure, △FHG is right angled at G. If FG = 16 cm and ∠H = 45°, find FH
	16 √ 2 cm 16 cm 8 √ 12 cm 32 cm 32 √ 3 cm

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