CBSE Board Practice

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CBSE Grade X - Introduction to Trigonometry

Question 1

1.	In the given figure, △IJK is right angled at J. If JK = 9 cm and ∠K = 45°, find IJ and IK
	9 cm & 9 √ 2 cm 7 cm & 21 cm 10 cm & 18 cm 10 cm & 21 cm 10 cm & 9 √ 2 cm

Question 2

2.	Which of the following are true?
	a) sec ( 180   −   θ ) =   −   cosec θ b) cot ( 180   −   θ ) =   −   cot θ c) cosec ( 180   −   θ ) = cosec θ d) sec ( 180   −   θ ) =   −   sec θ e) cot ( 180   −   θ ) =   −   tan θ f) cosec ( 180   −   θ ) = sec θ
	{e,c} {a,b} {f,a,d} {e,b,c} {b,c,d}

Question 3

3.	The value of cosec 44° in terms of an angle between 0° and 90° is
	sec 44° cosec 44°   −   cosec 44°   −   sec 44°

Question 4

4.	Express   cot 33°   in terms of   cos 33°
	cos 33°     √ 1   −   cos 2   33°     1     √ 1   −   cos 2   33°     1     cos 33°     √ 1   −   cos 2   33°     cos 33°     √ 1   −   cos 2   33°

Question 5

5.	Given that 13 cos θ  =  12 , find       sin θ
	5 13 13 5 12 5 5 12 13 12

Question 6

6.	In the given figure, tan J =
	JI HJ JI KJ HI JH HI IJ JH IJ

Question 7

7.	Given that 15 tan θ  =  8 , find       sin θ
	17 8 8 17 17 15 15 8 15 17

Question 8

8.	Which of the following are true?
	a) cos ( 90   +   θ ) =   −   cos θ b) tan ( 90   +   θ ) =   −   cot θ c) sin ( 90   +   θ ) = cos θ d) sin ( 90   +   θ ) =   −   sin θ e) tan ( 90   +   θ ) =   −   tan θ f) cos ( 90   +   θ ) =   −   sin θ
	{d,b,c} {e,a,f} {b,c,f} {d,c} {a,b}

Question 9

9.	Given that 4 tan θ  =  3 , find       cot θ
	5 4 5 3 4 3 4 5 3 5

Question 10

10.	The altitude BE of △BCD in which ∠B is obtuse is 7 cm . If   CE = 7 cm and DE = 7 √ 3 cm , find ∠CBD
	110° 100° 115° 105° 120°

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