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Inverse Trigonometric Functions
- Online Test
Inverse Trigonometric Functions
TEST : 1
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q1.
The value of
is
A.
0
B.
1/4
C.
2
D.
1/2
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q2.
The maximum value of sin x + cos x is
A.
1/√2.
B.
2
C.
1
D.
√2
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
(
1
2
√
)
+
(
1
2
√
)
=
2
–
√
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q3.
The minimum value of sin x −− cos x is
A.
1
B.
–√2
C.
-1
D.
0
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
(
−
1
2
√
)
+
(
−
1
2
√
)
=
−
2
–
√
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q4.
If
5
sin
θ
=
3
,
t
h
e
n
sec
θ
+
t
a
n
θ
sec
θ
−
tan
θ
is equal to
A.
4
B.
none of these.
C.
1/4
D.
2
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
sec
θ
+
t
a
n
θ
sec
θ
−
tan
θ
=
1
c
o
s
θ
+
s
i
n
θ
c
o
s
θ
1
c
o
s
θ
−
s
i
n
θ
c
o
s
θ
=
1
+
sin
θ
1
−
sin
θ
=
1
+
3
5
1
−
3
5
=
4
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q5.
If
sec
θ
=
x
+
1
4
x
,
x
∈
R
,
x
≠
0
,
,
then the value of
sec
θ
+
tan
θ
is
A.
2x
B.
2x or 1/2x
C.
1/2x
D.
none of these.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
sec
θ
=
x
+
1
4
x
,
x
∈
R
,
x
≠
0
,
⇒
tan
θ
=
x
−
1
4
x
,
x
∈
R
,
x
≠
0
,
⇒
sec
θ
+
tan
θ
=
x
+
1
4
x
+
x
−
1
4
x
=
2
x
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q6.
cos2θ is not equal to
A.
1
−
tan
2
θ
1
+
tan
2
θ
B.
1+
tan
2
θ
1-
tan
2
θ
C.
2
cos
2
θ
−
1
D.
1
−
2
sin
2
θ
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
cos
2
θ
is equals to
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q7.
When x=,x/2,then tan x, is
A.
−∞
B.
not defined.
C.
1
3
√
D.
1
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
tan
(
π
2
)
=
sin
(
π
2
)
cos
(
π
2
)
=
1
0
=
n
o
t
d
e
f
i
n
e
d
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q8.
tan x is periodic with period
A.
3π2
B.
π/2
C.
π
D.
2π x/3
View Solution
Add Work Space
Answer :
Option C
Explaination / Solution:
The values of tanx repeats after an interval of π.
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q9.
The period of the function f(x)=tan3x is
A.
π/3
B.
π
C.
π/2
D.
2π
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
f
(
x
)
=
tan 3x
, as the period of tanx =
π
.
3
x
=
π
.
x
=
π
3
.
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q10.
sin
2
25
0
+
sin
2
65
0
is equal to
A.
1/2
B.
1
C.
0
D.
none of these.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
sin
2
25
0
+
sin
2
65
0
=
sin
2
(
90
0
−
65
0
)
+
sin
2
65
0
=
cos
2
65
0
+
sin
2
65
0
=
1
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