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Class: 11
Subject: Math
Topic: Trigo
No. of Questions: 25
If for real values of x, cosx = x + 1/x, then
3.
1
2
3
4
o
o
o
o
What is the value of tan 9 – tan 27 – tan 63 + tan 81 ?
(A)
(B)
(C)
(D)
4.
o
ia
(A)
(B)
(C)
(D)
o
cosec 20 – sec 20 ?
ns
What is the value of
1
2
3
4
kI
2.
x > 90
x < 90
x = 90
no value of x is possible
IT
(A)
(B)
(C)
(D)
as
1.
What is the value of
(A)
(B)
(C)
(D) none of these
?
5.
The value of x ∈ R, for which 2
sin x
cos x
+2
does not hold true, is
(A)
(B)
(C)
(D) None of these
tan x is periodic with period
ns
6.
ia
(A)
(B) π
(C) 2π
(A)
(B)
(C)
kI
The period of tan(x + 3x + 5x + 7x) is
as
7.
IT
(D)
(D)
8.
Which of the following is correct?
(A)
(B)
(C)
(D)
tan1 = tan2
tan1 = 2/3 tan2
tan1 > tan2
tan1 < sin2
The magnitude of a radian is
(A)
(B)
(C)
(D)
For the trigonometric functions, which of the following statements is true?
(A)
(B)
(C)
(D)
12.
If sin
(A)
(B)
(C)
(D)
13.
ia
The greatest value of sinx cosx is
1
2
1/2
1
IT
11.
|cos x| is not a periodic function
period of |cos x| is the same as that of cos x
|cos x| and tan x both have period
tan x has period p, but |cos x| does not have period
ns
(A)
(B)
(C)
(D)
= cos
o
12
o
15
o
18
o
21
kI
10.
180°
58° 59′
57° 17′ 44.8′′
60°
, then
is equal to
as
9.
If is an acute angle and sin
(A)
(B)
(C)
(D)
, then p must satisfy
6
6
If u = sin x + cos x, then maximum and minimum values of u are
If A =
ns
± 1/4
±1
1 and 1/4
1/4 and – 1
, then (cos3A cos2A + sin2A sin3A) sin A is equal to
IT
(A)
(B)
(A)
(B)
(C)
(D)
18.
cot
–
= cot (
) cot (
as
2
If cot
kI
(C)
(D) None of these
17.
: 2, find the measure of
75
o
60
o
45
o
30
(A)
(B)
(C)
(D)
16.
B = 90 and AB : AC =
o
(A)
(B)
(C)
(D)
15.
o
In a right angled triangle ABC, if
ia
14.
–
), then cot 2
+ cot
1/2 (cot
+ cot
)
1/2 (tan + tan )
None of these
0
0
0
0
The value of sin36 .sin72 .sin108 .sin144 is
(A)
(B)
(C)
(D)
1/16
3/16
5/16
None of these
is equal to
A.
19.
– tan
tan
–
tan
tan
is equal to
(A) –
(B) 1 –
(C) 1
(D)
If tan
1
= k tan 2, then
equals
ns
20.
ia
(A)
(B)
IT
(C)
kI
(D)
If cot x = functions.
, x lies in second quadrant find the values of other five trigonometric
22.
Prove that
23.
Prove that sin x + sin 3x + sin 5x + sin 7x = 4 cos x. cos 2x. sin 4x
24.
Prove that cos2 x + cos2 (
25.
Prove that cos 2x. cos – cos 3x. cos
as
21.
= tan x
)
(
)
= sin 5x sin