CBSE Board Practice

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CBSE Grade X - Introduction to Trigonometry

Question 1

1.	Which of the following are true?
	a) cosec 2   θ   +   cot 2   θ  =  1 , 0 ≤ θ ≤ 90° b) cosec 2   θ   −   cot 2   θ  =  1 , 0 ≤ θ ≤ 90° c) sec 2   θ   −   tan 2   θ  =  1 , 0 ≤ θ ≤ 90° d) sin 2   θ   −   cos 2   θ  =  1 , 0 ≤ θ ≤ 90° e) sec 2   θ   +   tan 2   θ  =  1 , 0 ≤ θ ≤ 90° f) sin 2   θ   +   cos 2   θ  =  1 , 0 ≤ θ ≤ 90°
	{d,b,c} {b,c,f} {a,b} {e,a,f} {d,c}

Question 2

2.	Express   tan θ   in terms of   cot θ
	cot θ     √ 1   +   cot 2   θ     √ 1   +   cot 2   θ     cot θ     √ 1   +   cot 2   θ     1     √ 1   +   cot 2   θ     1     cot θ

Question 3

3.	Given   tan J = 5 39 √ 39 , find   cos J
	1 8 √ 39 1 5 √ 39 8 5 5 8 8 39 √ 39

Question 4

4.	sec A =
	1     sin A     1     tan A     1     cot A     1     cos A     1     cosec A

Question 5

5.	In △LMN , right angled at M , if LM = 24 cm and MN = 10 cm , find sec L
	13 14 11 12 13 10 5 4 13 12

Question 6

6.	Which of the following are true?
	a)     sin 80°  =      2 sin 40° cos 40° b)     tan 80°  =      2 tan 40°     1   −   tan 2   40° c)     tan 80°  =      2 tan 40°     1   +   tan 2   40° d)     cos 80°  =      cos 2   40°   +   sin 2   40° e)     sin 80°  =      2 sin 2   40° cos 2   40° f)     cos 80°  =      cos 2   40°   −   sin 2   40°
	{d,b} {c,a} {e,c,f} {a,b,f} {d,a,b}

Question 7

7.	Given   sec H = 2 3 √ 3 , find   tan H
	1 2 2 1 2 √ 3 1 3 √ 3 √ 3

Question 8

8.	In the given figure, △GIH is right angled at H. If GH = 22 cm and ∠I = 60°, find HI
	22 cm 22 3 √ 18 cm 22 3 cm 11 √ 2 cm 22 3 √ 3 cm

Question 9

9.	An equilateral triangle is inscribed in a circle of radius 9 cm. Find the length of its sides.
	9 cm 9 √ 18 cm 27 2 √ 2 cm 27 cm 9 √ 3 cm

Question 10

10.	Given that 17 sin θ  =  8 , find       sec θ
	15 8 8 15 17 15 15 17 17 8

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