The graph of 3cosec 2x is given. What is the domain and period of the function?
A
Domain: R−{nπ4;n∈Z}.
period: π.
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B
Domain: R−{nπ4;n∈Z}.
period: 2π.
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C
Domain: R−{nπ2;n∈Z}.
period: π.
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D
Domain: R−{nπ2;n∈Z}.
period: 2π.
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Solution
The correct option is C Domain: R−{nπ2;n∈Z}.
period: π. From the graph given, we can see that the graph repeats after a period of π.
Also domain of the function will exclude the points where sin2x will be zero. ⇒ the domain of the given function is R−{nπ2;n∈Z}