Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Find the magnitude of exp(jwt). Find the boun... Start Learning for Free
Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).
- a)1, [-1,2], [-1,2].
- b)0.5, [-1,1], [-1,1].
- c)1, [-1,1], [-1,2].
- d)1, [-1,1], [-1,1].
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t...
The sin(t)and cos(t) can be found using Euler’s rule.
Most Upvoted Answer
Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t...
Magnitude of exp(jwt):
The magnitude of a complex number can be found using the Pythagorean theorem. In the case of exp(jwt), we can write it in the form of a complex number as exp(jwt) = cos(wt) + j*sin(wt). The magnitude of this complex number is given by |exp(jwt)| = sqrt((cos(wt))^2 + (sin(wt))^2). Since the cosine and sine functions can take values between -1 and 1, the magnitude of exp(jwt) will also be between 0 and 1.
Boundness of sin(t) and cos(t):
To determine the boundness of sin(t) and cos(t), we need to consider the range of values that t can take. In option D, the range of t is given as [-1,1].
- Sin(t): The sine function oscillates between -1 and 1 as t varies. Since the range of t is [-1,1], sin(t) will also be bounded between -1 and 1.
- Cos(t): The cosine function also oscillates between -1 and 1 as t varies. Therefore, cos(t) will also be bounded between -1 and 1 for the given range of t.
Therefore, the correct answer is option D - 1, [-1,1], [-1,1].
The magnitude of a complex number can be found using the Pythagorean theorem. In the case of exp(jwt), we can write it in the form of a complex number as exp(jwt) = cos(wt) + j*sin(wt). The magnitude of this complex number is given by |exp(jwt)| = sqrt((cos(wt))^2 + (sin(wt))^2). Since the cosine and sine functions can take values between -1 and 1, the magnitude of exp(jwt) will also be between 0 and 1.
Boundness of sin(t) and cos(t):
To determine the boundness of sin(t) and cos(t), we need to consider the range of values that t can take. In option D, the range of t is given as [-1,1].
- Sin(t): The sine function oscillates between -1 and 1 as t varies. Since the range of t is [-1,1], sin(t) will also be bounded between -1 and 1.
- Cos(t): The cosine function also oscillates between -1 and 1 as t varies. Therefore, cos(t) will also be bounded between -1 and 1 for the given range of t.
Therefore, the correct answer is option D - 1, [-1,1], [-1,1].
 | Explore Courses for Electrical Engineering (EE) exam |  |
Top Courses for Electrical Engineering (EE)View all
Top Courses for Electrical Engineering (EE)
Question Description
Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer?.
Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer? for Electrical Engineering (EE) 2026 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2026 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer?.
Solutions for Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE). Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer?, a detailed solution for Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Find the magnitude of exp(jwt). Find the boundness of sin(t) and cos(t).a)1, [-1,2], [-1,2].b)0.5, [-1,1], [-1,1].c)1, [-1,1], [-1,2].d)1, [-1,1], [-1,1].Correct answer is option 'D'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
| Explore Courses for Electrical Engineering (EE) exam | |
Top Courses for Electrical Engineering (EE)
Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
