CBSE Board Practice

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CBSE Grade X - Introduction to Trigonometry

Question 1

1.	tan 69° cot 3° cot 21° tan 87° =
	1 -1 0 tan 3° tan 69°

Question 2

2.	Express   sin 44°   in terms of   cos 44°
	√ 1   −   cos 2   44°     cos 44°     1     cos 44°     cos 44°     √ 1   −   cos 2   44°     1     √ 1   −   cos 2   44°     √ 1   −   cos 2   44°

Question 3

3.	In △IJK , right angled at J , if IJ = 15 cm and JK = 8 cm , find sec K
	17 8 15 8 19 8 17 10 17 6

Question 4

4.	Given   cos C = 4 5 , find   sec C
	4 3 5 3 5 4 3 5 3 4

Question 5

5.	Given   tan F = 4 3 , find   cot F
	4 5 3 5 3 4 5 3 5 4

Question 6

6.	cos 60° sin 60°   −   cos 90° cosec 30° =
	3 4 1 4 √ 6 1 4 1 4 √ 3 1 4 4 √ 3

Question 7

7.	sin ( A   −   B ) =
	cos A cos B   +   sin A sin B     sin A cos B   +   cos A sin B     cos A cos B   −   sin A sin B     sin A cos B   −   cos A sin B

Question 8

8.	Given that 15 tan θ  =  8 , find       cot θ
	15 17 15 8 8 17 17 15 17 8

Question 9

9.	In the given figure, △FHG is right angled at G. If FG = 15 cm and ∠H = 45°, find FH
	15 cm 30 cm 15 √ 2 cm 30 √ 3 cm 15 2 √ 12 cm

Question 10

10.	Which of the following are true?
	a)     ( sin θ   −   cos θ ) 2  =      1   +   sin 2 θ b)     ( sin θ   +   cos θ ) 2   +       ( sin θ   −   cos θ ) 2  =      2 c)     cos 3   θ   +   sin 3   θ  =      ( sin θ   +   cos θ ) ( 1   −   sin θ cos θ ) d)     ( sin θ   +   cos θ ) 2  =      1   +   sin 2 θ e)     sec θ     1   +   cosec θ  =      1   −   cosec θ     sec θ f)     cos θ     1   +   sin θ  =      1   −   sin θ     cos θ g)     cos 3   θ   −   sin 3   θ  =      ( sin θ   +   cos θ ) ( 1   −   sin θ cos θ )
	{b,c,d,f} {e,f,b} {g,a,d} {a,b} {e,c}

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