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Which of the following statements is correct
  • a)
    The function y = sinx is periodic with period 2π.
  • b)
    The function y = cosecx is periodic with period π/2.
  • c)
    The function y = cosx is periodic with period 3π/2.
  • d)
    The function y = tanx is periodic with period π.
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Which of the following statements is correcta)The function y = sinx is...
The correct statement is option D: The function y = tanx is periodic with period π.

- Periodic Function: A function is said to be periodic if it repeats its values at regular intervals. In other words, a function f(x) is periodic if there exists a positive number p such that f(x + p) = f(x) for all x.

Explanation:

1. The function y = sinx is periodic with period 2π.
- The sine function repeats its values every 2π radians or 360 degrees. Therefore, the correct statement is not option A.

2. The function y = cosecx is not periodic with period π/2.
- The cosecant function, csc(x), is the reciprocal of the sine function, 1/sinx. Since the sine function has a period of 2π, the cosecant function also has a period of 2π. Therefore, the correct statement is not option B.

3. The function y = cosx is periodic with period 2π.
- The cosine function also repeats its values every 2π radians or 360 degrees. Therefore, the correct statement is not option C.

4. The function y = tanx is periodic with period π.
- The tangent function repeats its values every π radians or 180 degrees. This can be seen from the graph of the tangent function, which has vertical asymptotes at x = (n + 1/2)π, where n is an integer. Between these asymptotes, the tangent function repeats its values. Therefore, the correct statement is option D.

Summary:

- The function y = tanx is periodic with period π.
Community Answer
Which of the following statements is correcta)The function y = sinx is...
I think a and d both options are correct
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Which of the following statements is correcta)The function y = sinx is periodic with period 2π.b)The function y = cosecx is periodic with period π/2.c)The function y = cosx is periodic with period 3π/2.d)The function y = tanx is periodic with period π.Correct answer is option 'D'. Can you explain this answer?
Question Description
Which of the following statements is correcta)The function y = sinx is periodic with period 2π.b)The function y = cosecx is periodic with period π/2.c)The function y = cosx is periodic with period 3π/2.d)The function y = tanx is periodic with period π.Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Which of the following statements is correcta)The function y = sinx is periodic with period 2π.b)The function y = cosecx is periodic with period π/2.c)The function y = cosx is periodic with period 3π/2.d)The function y = tanx is periodic with period π.Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is correcta)The function y = sinx is periodic with period 2π.b)The function y = cosecx is periodic with period π/2.c)The function y = cosx is periodic with period 3π/2.d)The function y = tanx is periodic with period π.Correct answer is option 'D'. Can you explain this answer?.
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