TRIGONOMETRY RATIOS 1.
The angle subtended at the centre of a circle of radius 3 metres by an arc of length 1 metre is equal to (a) 20°
(b) 60°
(c)
1 radian 3
(d) 3 radians
A circular wire of radius 7 cm is cut and bend again into an arc of a circle of radius 12 cm . The angle subtended by the arc at the centre is (a) 50° (b) 210° (c) 100° (d) 60° The radius of the circle whose arc of length 15cm makes an angle of 3/4 radian at the centre is
2.
3.
(a) 10cm 4.
If for real values of x, cos
5.
(a) is an acute angle (c) is an obtuse angle The incorrect statement is (a) sin
6.
1 4
(c) 11 cm
(b) 20 cm
1 5
x
1 2
(d) 22 cm
1 , then x (b) is a right angle (d) No value of is possible
(b) cos
1
(c) sec
1 2
(b) tan
1002
(d) sec
1 2
(d) tan
20
Which of the following relations is possible (a) sin (c) cos
5 3 1 p2 , (p 1 p2
The equation (a (a) 2a b
7.
2 The equation sec
8.
9. 10.
b) 2
1)
4ab sin 2 is possible only when (b) a b (c) a 2b
4xy is only possible when ( x y) 2 (b) x y (c) x
(a) x y Which of the following is correct (a) tan 1 tan 2 (b) tan 1 tan 2 Which of the following relations is correct (a) sin1 sin1
(b) sin1 sin1
11.
tan 1 tan 2 tan 3 tan 4 ........ tan 89
12.
(a) 1 If sin
13.
(a) 10 If sin (a) 1
cosec
(b) 0 2, the value of sin10
cosec
(b) 2 2 , then sin2 (b) 4
(d) None of these
(c) tan 1 tan 2
(d) tan 1 1
(c) sin1 sin1
(d)
(c)
(d) 1/2
10
cosec
10
y
(d) None of these
(c) 2
180
sin 1 sin 1o
is 9
(d) 2
2
cosec
(c) 2
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(d) None of these
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14. 15. 16.
If sin (a) m If sin (a) 0
18.
19.
If sin
cos
(b) n , then 1 sin cos (b) 1
(b) – 5
(d) 1/2 tan
(c) – 7
(b) 1
(d) – 9
44 117
(d)
117 43
(d) 6
20 , cos will be 21
If tan
20 41
(b)
1 21
(c)
24 , then the value of tan x is 25 24 (b) 7 4 , then sin 3
If sin x
24 25
If tan
(b) – 4/5 or 4/5
1 and tan 2
If sin
1, then
1 5 ) 45 ,
If tan (a) 1 / 11
1 and cos( 2 (b) 15
1 and 10
1 5 1 , where 2 15 , 45
)
(d)
25 24
20 21
(d) None of these
(c) 4/5 but not – 4/5
(c) Third
lies in the third quadrant, then cos (b)
If sin(
(c)
21 29
(d) None of these
lies in which quadrant
(b) Second
4 and 5
If sin
(a) 25.
(c) 2
(c) 1/6
(a) 24.
(d) 2n
(a) 0
(a) First 23.
(c) 2m
lies in the second quadrant, then sec
(a) – 4/5 but not 4/5 22.
n , then n(m 1)(m 1)
(c)
(a) 21.
cosec
11 If cosec A cot A , then tan A 2 15 21 (a) (b) 16 22 5 sin 3 cos If 5 tan 4, then 5 sin 2 cos
(a) 20.
m and sec
24 and 25
(a) – 3 17.
cos
(c)
(d) Fourth
2
2 5
and
(d)
2 5
are positive acute angles, then
60 ,
(c)
15
(d) None of these
lies in the fourth quadrant, then cos (b)
1/ 11
(c)
10 11
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(d)
10 11
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26.
27.
2m 1, if 3 4 2m (a) tan (b) tan (c) tan (d) None of these 4 3 m2 1 If A lies in the second quadrant and 3 tan A 4 0, the value of 2 cot A 5 cosA sin A is (m 2) sin
(2m 1) cos
equal to
53 10
7 10 sin 3x If sin x sin y 3(cos y cos x), then the value of is sin 3y (a)
28.
(b)
7 10
(c)
(d)
23 10
29.
(a) 1 (b) – 1 (c) 0 (d) None of these 3 2 tan A If sin A, cos A and are in G.P., then cos A cos A is equal to (a) 1 (b) 2 (c) 4 (d) None of these
30.
If
1 sin 1 sin (c) 2cosec
lies in the second quadrant, then the value of
(a) 2 sec
(b)
2 sec
1 sin 1 sin (d) None of these
ANSWERS 1
c
2
b
3
b
4
d
5
c
6
b
7
b
8
a
9
a
10
b
11
a
12
d
13
c
14
c
15
a
16
c
17
c
18
c
19
c
20
b
21
b
22
c
23
b
24
a
25
c
26
b
27
d
28
b
29
a
30
b
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