ICSE Board Practice

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ICSE Grade IX - Trigonometrical Ratios

Question 1

1.	Given   tan B = 3 4 , find   sec B
	3 5 5 4 4 5 4 3 5 3

Question 2

2.	From the given figure, find   cos ( 90   −   A )
	AB BC BC AB AB AC AC AB BC AC

Question 3

3.	If   cot θ =   2 3 , find       ( 1   +   sin θ ) ( 1   −   sin θ )     ( 1   −   cos θ ) ( 1   +   cos θ )
	4 11 2 9 2 3 4 7 4 9

Question 4

4.	cos 21°   +   sin 33° =
	sin 21°   +   cos 33° cos 21°   +   cos 33° sin 69°   +   sin 57° sin 69°   +   cos 57°

Question 5

5.	From the given figure, find   sec ( 90   −   I )
	HI GI HI GH GH HI GI HI GI GH

Question 6

6.	Given   sec C = 5 4 , find   cosec C
	3 4 3 5 4 5 5 3 4 3

Question 7

7.	cosec 75° sec 15° =
	-1 1 0 tan 15° tan 75°

Question 8

8.	Which of the following are true?
	a) cos 25°  =  sin 25° b) sin 55°  =  cos 35° c) sin 26°  =  cos 64° d) sin 41°  =  cos 49° e) tan 56°  =  cot 34° f) sec 29°  =  cosec 61° g) sin 54°  =  cos 54°
	{a,e,f} {a,b} {g,c} {b,c,d,e,f} {a,g,d}

Question 9

9.	tan 63° cot 57° cot 27° tan 33° =
	1 tan 57° tan 63° -1 0

Question 10

10.	Find the length of the side of a 5-sided regular polygon inscribed in a circle of radius 1 m
	1.2256 m 1.1756 m 1.0756 m 1.2756 m

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