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The values of sin x and cos x repeat after an interval of:

AHalf pi
BFour pi
CTwo pi
DOne pi
Answer & Solution
Correct answer: C. Two pi
1. One full turn brings the point P back to where it started. 2. The coordinates of P are then the same again. 3. So the values repeat after two pi. _Source: NCERT Class 11 Mathematics, Chapter 3, Trigonometric Functions._
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