English
Hindi

Question

Download Solution PDF

Which of the following is an even function?

This question was previously asked in
ISRO VSSC Technical Assistant 11 Feb 2024 Official Paper
Attempt in App
View all ISRO Technical Assistant Papers >
  1. sin (x)
  2. cos (x)
  3. tan (x)
  4. x3

Answer (Detailed Solution Below)

Option 2 : cos (x)
Free Tests
View all Free tests >
Free
ISRO Technical Assistant Mechanical Full Mock Test
80 Qs. 80 Marks 90 Mins
Start Now

Detailed Solution

Download Solution PDF

Concept:

An even function satisfies the condition: .

An odd function satisfies: .

Checking the given functions:

1) sin(x): → odd function 

2) cos(x): → even function 

3) tan(x): → odd function 

4) x3: → odd function 

Answer:

Hence, the correct option is 2

Download Solution PDF
Latest ISRO Technical Assistant Updates

Last updated on May 30, 2025

-> The ISRO Technical Assistant recruitment 2025 notification has been released at the official website. 

-> Candidates can apply for ISRO recruitment 2025 for Technical Assistant from June 4 to 18.

-> A total of 83 vacancies have been announced for the post of Technical Assistant.

-> The Selection process consists of a written test and a Skill test.

-> Candidates can also practice through ISRO Technical Assistant Electrical Test Series, ISRO Technical Assistant Electronics Test Series, and ISRO Technical Assistant Mechanical Test Series to improve their preparation and increase the chance of selection. 

‹‹ Previous Ques
Next Ques ››
Exams Tests Super Practice

More Classification of Signals Questions

Q1.Which signal is described by x(t) = At, for t ≥ 0  = 0, for t < 0
Q2.What is the average value of a(t) = |Amsinwt|? 
Q3.Consider a system with input 𝑥(𝑡) and output 𝑦(𝑡) = 𝑥(𝑒𝑡). The system is 
Q4.Consider the system represented by y[n] = 2x[n] + 3 A. The system is linear. B. The system is non‐linear. C. The system does not have homogeneity property. D. The system follows the additive property. Choose the correct answer from the options given below: 
Q5.Consider a signal x (t) = 5 cos \(\left( {\frac{{2π t}}{3}} \right)\)+ 9 sin (0.5π t) + 3 sin \(\left( {\frac{{\pi t}}{3} - \frac{\pi }{6}} \right)\)+ 12. Identify the valid statement for x (t).
Q6.What is the even part of the signal x(t) = 2 + cost ?
Q7.In which one of the following techniques, RF binary signals are transmitted as given? \(0:\sqrt 2 p'(t)\cos [{\omega _c} - (\Delta \omega /2)]t\) \(1:\sqrt 2 p'(t)\cos [{\omega _c} + (\Delta \omega /2)]t\)
Q8.For a periodic signal v(t) = 30 sin100t +10cos300t + 6 sin(500t + π/4) , the fundamental frequency in rad/s is
Q9.The system represented by \(y(n) = \frac 1 3 (x[n] + x[n - 1] + x[n + 2])\) is

More Introduction To Signals and Systems Questions

Q1.The equation for voltage waveform v(t) shown below is (where u(t) is unit step input) :
Q2.A continuous-time signal x(t) is defined as : \(x(\mathrm{t})=\left\{\begin{array}{cc} 5 & -2 \leq \mathrm{t} \leq 2 \\ 0 & \text { otherwise } \end{array}\right.\) The energy of signal x(t) is : 
Q3.Which signal is described by x(t) = At, for t ≥ 0  = 0, for t < 0
Q4.What is the average value of a(t) = |Amsinwt|? 
Q5.If x(n) is defined as discrete time signal, then \(\rm \Sigma_{n=-\infty}^{\infty}|x(n)|^2=?\)
Q6.Consider a system with input 𝑥(𝑡) and output 𝑦(𝑡) = 𝑥(𝑒𝑡). The system is 
Q7.Given below are two statements Statement I: The scaling theorem relates scale changes in frequency domain to the consequent changes in scale in the time domain. Statement II: The scaling theorem is not applicable to an impulse signal. In light of the above statements, choose the correct answer from the options given below
Q8.Arrange the following system types in ascending order of their intersection with 0 dB axis. A. Type N system B. Type 3 system C. Type 2 system D. Type 4 system Choose the correct answer from the options given below
Q9.Consider the system represented by y[n] = 2x[n] + 3 A. The system is linear. B. The system is non‐linear. C. The system does not have homogeneity property. D. The system follows the additive property. Choose the correct answer from the options given below: 
Suggested Test Series
View All >
AE & JE Mechanical Engg. Exams Previous Year Papers Mock Test
178 Total Tests with 3 Free Tests
Start Free Test
ISRO Technical Assistant 2025 Mock Test
84 Total Tests with   2 Free Tests
Start Free Test

More Signals and Systems Questions

Q1.The Fourier Transform of an real and even function results in:
Q2.Sinc pulse shaping is derived from the Fourier Transform of a _______ function.
Q3.What type of distortion occurs if a signal that contains frequency components up to 15 kHz is sampled using 20 kHz?
Q4.Which one of the following systems described by the following input-output relations is time invariant ? 
Q5.The equation for voltage waveform v(t) shown below is (where u(t) is unit step input) :
Q6.A continuous-time signal x(t) is defined as : \(x(\mathrm{t})=\left\{\begin{array}{cc} 5 & -2 \leq \mathrm{t} \leq 2 \\ 0 & \text { otherwise } \end{array}\right.\) The energy of signal x(t) is : 
Q7.If Z(un) = f(z), then Z(a − nun) (where Z denotes z-transform) equals to :
Q8.The Laplace transform of x(t) is \(\sqrt{\frac{2}{s-3}}\).  Then Laplace transform of e−6tx(t) is :
Q9.Which one of the following is the correct relation ? (a > 0) 
Q10.What is the formula of finding the final value of any time varying function f(t)?
Testbook Edu Solutions Pvt. Ltd.
1st & 2nd Floor, Zion Building,
Plot No. 273, Sector 10, Kharghar,
Navi Mumbai - 410210
support@testbook.com
Toll Free:1800 833 0800
Office Hours: 10 AM to 7 PM (all 7 days)
Company
About usCareers We are hiringTeach Online on TestbookPartnersMediaSitemap
Products
Test SeriesTestbook PassOnline CoursesOnline VideosPracticeBlogRefer & EarnBooks
Copyright © 2014-2022 Testbook Edu Solutions Pvt. Ltd.: All rights reserved
User PolicyTermsPrivacy
Hot Links： teen patti joy mod apk teen patti game - 3patti poker teen patti master purana lucky teen patti teen patti casino