ICSE Board Practice

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ICSE Grade X - Trigonometrical Identities

Question 1

1.	Express   sec 68°   in terms of   tan 68°
	tan 68°     √ 1   +   tan 2   68°     √ 1   +   tan 2   68°     tan 68°     1     tan 68°     1     √ 1   +   tan 2   68°     √ 1   +   tan 2   68°

Question 2

2.	In the given figure, sec M =
	PN ON MN MO MO MN NM OM ON OM

Question 3

3.	In the given figure, △FGH is right angled at G. If GH = 8 cm and ∠H = 30°, find FG and FH
	8 3 cm & 18 cm 8 3 4 √ 3 cm & 16 cm 8 3 4 √ 3 cm & 18 cm 8 3 4 √ 3 cm & 16 3 √ 3 cm 8 3 √ 3 cm & 16 3 √ 3 cm

Question 4

4.	Express   sec 40°   in terms of   cosec 40°
	√ cosec 2   40°   −   1     cosec 40°     √ cosec 2   40°   −   1     √ cosec 2   40°   −   1     cosec 40°     1     √ cosec 2   40°   −   1     1     cosec 40°

Question 5

5.	cos 47° sin 75° sin 43° cos 15° =
	-1 0 tan 75° tan 47° 1

Question 6

6.	tan 48°   +   cot 70° =
	cot 42°   +   tan 20° tan 48°   +   tan 70° cot 42°   +   cot 20° cot 48°   +   tan 70°

Question 7

7.	tan ( A   −   B ) =
	tan A   +   tan B     1   −   tan A tan B     tan A   +   tan B     1   +   tan A tan B     tan A   −   tan B     1   −   tan A tan B     tan A   −   tan B     1   +   tan A tan B

Question 8

8.	sin 13°   +   cos 52° =
	sin 13°   +   sin 52° cos 77°   +   cos 38° cos 13°   +   sin 52° cos 77°   +   sin 38°

Question 9

9.	Given   cosec J = 17 8 , find   sec J
	8 17 15 17 17 15 15 8 8 15

Question 10

10.	Given that 5 cot θ  =  12 , find       cosec θ
	5 13 5 12 13 12 13 5 12 13

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