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Cosecant and secant repeat after the same interval as sin and cos, namely:
AOne pi
BHalf pi
CFour pi
DTwo pi
Answer & Solution
Correct answer: D. Two pi
1. Cosecant is the reciprocal of sine and secant of cosine.
2. A reciprocal repeats whenever the original does.
3. So they repeat after two pi as well.
_Source: NCERT Class 11 Mathematics, Chapter 3, Trigonometric Functions._
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