Toggle navigation
Test.Brainkart.com
Home
GATE Exam
TN School
College Entrance Exam
IIT JEE
NEET
AIIMS
CAT
CLAT
TANCET
10th & 12th
11th Std
12th Std
10th Std
Job Entrance Exam
BANK
UGC NET
TNPSC
Inverse Trigonometric Functions
- Online Test
Inverse Trigonometric Functions
TEST : 2
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q1.
If
x
+
y
=
π
4
.
t
h
e
n
(
1
+
tan
x
)
(
1
+
tan
y
)
is equal to
A.
2
B.
-1
C.
none of these.
D.
1
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q2.
The period of the function f(x)=cos 4x + tan 3x is
A.
none of these
B.
π
2
C.
π
3
D.
π
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
f(π)=(cos4π+tan3π)gives the same value as f (0) .Therefore,the period of the function is π
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q3.
The general solution of the equation cotθ−tanθ=secθis(n∈I)
A.
2
n
π
+
π
6
B.
nπ+(−1)
n
π/6
C.
2
n
π
±
π
6
D.
n
π
+
π
6
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q4.
sin
265
0
−
cos
265
0
is
A.
non-negative.
B.
negative
C.
Zero
D.
positive
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
sin
265
0
−
cos
265
0
=
−
c
o
s
5
0
+
sin
5
0
b
e
t
w
e
e
n
0
t
o
90
0
c
o
s
θ
>
s
i
n
θ
c
o
s
θ
>
s
i
n
θ
there fore answer is negative
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q5.
The value of
cos
15
0
−
sin
15
0
is
A.
−
1
2
√
B.
1/√2
C.
0
D.
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q6.
he value of
tan
15
0
+
cot
15
0
is
A.
Not defined.
B.
4
C.
2
3
–
√
D.
3
–
√
2
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q7.
sin
200
0
+
cos
200
0
is
A.
Positive
B.
Zero
C.
Zero or positive.
D.
Negative
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
Because both
s
i
n
200
0
a
n
d
c
o
s
200
0
lies in 3rd quadrant. In 3rd quadrant values of both sine and cosine functions are negative.
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q8.
If sin A + cos A = 1, then sin 2A is equal to
A.
1/2
B.
1
C.
2
D.
0
View Solution
Add Work Space
Answer :
Option D
Explaination / Solution:
(
Sin
A
+
Cos
A
)
2
=
s
i
n
2
A
+
c
o
s
2
A
+
2
s
i
n
A
c
o
s
A
1 = 1 + Sin 2A
so, Sin 2A = 0
Hence A = 0
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q9.
The value of
cos
105
0
is
A.
−
3
√
+
1
2
2
√
B.
3
√
-1
2
2
√
C.
3
√
+
1
2
2
√
D.
3
√
−
1
2
2
√
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
The value of
cos
105
0
=
cos
(
90
+
15
)
0
=
−
sin
15
0
=
1
−
3
√
2
2
√
.
# Inverse Trigonometric Functions
# CBSE 12th Mathematics
Prepare / Learn
Q10.
sin
{
sin
−
1
(
3
√
5
)
+
cos
−
1
(
3
√
5
)
}
is equal to
A.
0
B.
1
C.
π/2
D.
none of these.
View Solution
Add Work Space
Answer :
Option A
Explaination / Solution:
Submit My Answer
Total Question/Mark :
Scored Mark :
Mark for Correct Answer : 1 Mark for Wrong Answer : -0.5 Mark for Left Answer : 0
Save and Share My Score
REDO LAST TEST AGAIN : ( TEST 1 )
REDO THIS TEST AGAIN : ( TEST 2 )
START NEXT : ( TEST 3 )
Inverse Trigonometric Functions
| Online Objective Test |
Start Test
Under Graduate Entrance Exams : IIT JEE IEEE Entrance Exam (Mathematics)
| Online Objective Test
Start Test
UPSC Civil services Entrance exams : Civil Services Aptitude Test (CSAT) (Mathematics)
| Online Objective Test
Start Test
TANCET Anna University : EEE Electrical and Electronics Engineering (Mathematics)
| Online Objective Test
Start Test
TANCET Anna University : ECE Electronics and Communication Engineering (Mathematics)
| Online Objective Test
Start Test
TANCET Anna University : CSE, IT Computer Science Engineering and Information Technology (Mathematics)
| Online Objective Test
Start Test
TANCET Anna University : Civil Engineering (Mathematics)
| Online Objective Test
Start Test
TANCET Anna University : Mechanical Engineering (Mathematics)
| Online Objective Test
Start Test
Prepare Before Start Test
| Learn
Engineering
| prepare/Learn
Medical
| prepare/Learn
TN School (10th & 12th )
| prepare/Learn
NEET, JEE
| prepare/Learn
TNPSC Exam
| prepare/Learn
UPSC Civil services Entrance exams
| Online Test
General Studies test
| Start Online Test
Civil Services Aptitude Test (CSAT)
| Start Online Test
Interview and Personality Test
| Start Online Test
GATE Exam
| Online Test
EE Electrical Engineering
| Start Online Test
EC Electronics and Communication Engineering
| Start Online Test
CS Computer Science and Information Technology
| Start Online Test
CE Civil Engineering
| Start Online Test
ME Mechanical Engineering
| Start Online Test
Under Graduate Entrance Exams
| Online Test
IIT JEE IEEE Entrance Exam
| Start Online Test
NEET Entrance Exam
| Start Online Test
AIIMS Entrance Exams
| Start Online Test
Problem Solving and Reasoning
| Online Test
Verbal and Reading Comprehension
| Start Online Test
Data Interpretation and Logical Reasoning
| Start Online Test
Mathematics or Quantitative Aptitude
| Start Online Test
CAT Entrance Exams
| Online Test
Mathematics or Quantitative Aptitude
| Start Online Test
Data Interpretation and Logical Reasoning
| Start Online Test
Verbal and Reading Comprehension
| Start Online Test
CLAT LAW Entrance exams
| Online Test
English including comprehension
| Start Online Test
General Knowledge and Current Affairs
| Start Online Test
Elementary Mathematics
| Start Online Test
Logical and Legal Reasoning Aptitude
| Start Online Test
Banking Entrance exams
| Online Test
Bank PO
| Start Online Test
Bank Clerks
| Start Online Test
Specialist Officers (SO)
| Start Online Test
UGC NET Entrance exams
| Online Test
Science
| Start Online Test
Language
| Start Online Test
TANCET Anna University
| Online Test
EEE Electrical and Electronics Engineering
| Start Online Test
ECE Electronics and Communication Engineering
| Start Online Test
CSE, IT Computer Science Engineering and Information Technology
| Start Online Test
Civil Engineering
| Start Online Test
Mechanical Engineering
| Start Online Test
TN State Board
| Online Test
TN 11th Standard
| Start Online Test
TN 12th Standard
| Start Online Test
TN 10th Standard
| Start Online Test