ExamSIDE
(Powered by ExamGOAL)
Questions
Joint Entrance Examination
JEE Main
Physics
Chemistry
Mathematics
JEE Advanced
Physics
Chemistry
Mathematics
MHT CET
Mathematics
Physics
Chemistry
BITSAT
Physics
Chemistry
Mathematics
English Proficiency
Logical Reasoning
COMEDK
Physics
Chemistry
Mathematics
WB JEE
Physics
Chemistry
Mathematics
KCET
Physics
Chemistry
Mathematics
VITEEE
Physics
Chemistry
Mathematics
Aptitude
English
AP EAPCET
Physics
Chemistry
Mathematics
TS EAMCET
Physics
Chemistry
Mathematics
IAT (IISER)
Mathematics
Biology
Physics
Chemistry
Medical
NEET
Physics
Chemistry
Biology
AIIMS
Physics
Chemistry
Biology
MHT CET (Biology)
Biology
Physics
Chemistry
Graduate Aptitude Test in Engineering
GATE CSE
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization
GATE ECE
General Aptitude
Network Theory
Microprocessors
Signals and Systems
Electromagnetics
Digital Circuits
Electronic Devices and VLSI
Control Systems
Communications
Engineering Mathematics
Analog Circuits
GATE EE
Electric Circuits
Electrical Machines
Engineering Mathematics
Signals and Systems
Power Electronics
Power System Analysis
Digital Electronics
Analog Electronics
Electromagnetic Fields
Control Systems
Electrical and Electronics Measurement
General Aptitude
GATE ME
Production Engineering
General Aptitude
Fluid Mechanics
Heat Transfer
Thermodynamics
Engineering Mechanics
Machine Design
Industrial Engineering
Strength of Materials
Engineering Mathematics
Theory of Machines
Turbo Machinery
GATE CE
Structural Analysis
Fluid Mechanics and Hydraulic Machines
Strength of Materials Or Solid Mechanics
Reinforced Cement Concrete
Construction Material and Management
Geotechnical Engineering
General Aptitude
Environmental Engineering
Steel Structures
Hydrology
Transportation Engineering
Engineering Mathematics
Irrigation
Engineering Mechanics
Geomatics Engineering Or Surveying
GATE PI
Engineering Mechanics
Theory of Machines
Thermodynamics
Machine Tools and Machining
Metrology
Joining of Materials
Casting
Engineering Mathematics
Industrial Engineering
Fluid Mechanics
Strength of Materials
Machine Design
Heat Transfer
Metal Forming
GATE IN
Engineering Mathematics
GATE Data Science and Artificial Intelligence
General Aptitude
Discrete Mathematics
Artificial Intelligence
Machine Learning
Database Management System and Warehousing
Python Programming
Data Structures
Algorithms
Civil Services
UPSC Civil Service
History of India
Science and Technology
Geography
Ecology and Environment
Indian Polity and Governance
Economy
Current Affairs
Comprehension
Basic Numeracy
Logical Reasoning and General Mental Ability
Data Interpretation and Sufficiency
Defence
NDA
Mathematics
English
General Science
General Studies
Staff Selection Commission
SSC CGL Tier I
Quantitative Aptitude
General Intelligence and Reasoning
General Awareness
English Comprehension
CBSE
Class 12
Physics
Chemistry
Mathematics
Explore Exams
Browse past year questions by exam
Joint Entrance Examination
Medical
Graduate Aptitude Test in Engineering
Civil Services
Defence
Staff Selection Commission
CBSE
Complex Variable
Marks 1
Vector Calculus
Marks 1
Marks 2
Numerical Methods
Marks 1
Transform Theory
Marks 1
Marks 2
Linear Algebra
Marks 1
Marks 2
Calculus
Marks 1
Marks 2
Differential Equations
Marks 1
Marks 2
Probability and Statistics
Marks 1
Marks 2
PREVIOUS
1
GATE IN 1994
MCQ (Single Correct Answer)
+1
-0.3
$$\cos \phi $$ can be represented as
A
$${{{e^{i\phi }}\, - \,{e^{ - i\phi }}} \over 2}$$
B
$${{{e^{i\phi }}\, - \,{e^{ - i\phi }}} \over {2i}}$$
C
$${{{e^{i\phi }}\, + \,{e^{ - i\phi }}} \over i}$$
D
$${{{e^{i\phi }}\, + \,{e^{ - i\phi }}} \over 2}$$
Check Answer
PREVIOUS
Questions from Complex Variable
Marks 1 · No. in brackets = question count
GATE IN 2017
1
GATE IN 2016
2
GATE IN 2015
1
GATE IN 2007
2
GATE IN 2005
2
GATE IN 2002
1
GATE IN 1997
1
GATE IN 1994
2
GATE IN Subjects
Browse all chapters by subject
Engineering Mathematics
Complex Variable
Vector Calculus
Numerical Methods
Transform Theory
Linear Algebra
Calculus
Differential Equations
Probability and Statistics
EXAM MAP
Browse past year questions by exam & subject
Joint Entrance Examination
JEE Main
JEE Advanced
MHT CET
BITSAT
COMEDK
WB JEE
KCET
VITEEE
AP EAPCET
TS EAMCET
IAT (IISER)
Medical
NEET
AIIMS
MHT CET (Biology)
Graduate Aptitude Test in Engineering
GATE CSE
GATE ECE
GATE EE
GATE ME
GATE CE
GATE PI
GATE IN
GATE Data Science and Artificial Intelligence
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12