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Let f(x)=((2sinx+sin2x)/(2cosx+sin2x)*(1...

Let `f(x)=((2sinx+sin2x)/(2cosx+sin2x)*(1-cosx)/(1-sinx)): x in R.`
Consider the following statements.
I. Domain of f is R.
II. Range of f is R.
III. Domain of f is `R-(4n-1)pi/2, n in I.`
IV. Domain of f is `R-(4n+1)pi/2, n in I.`
Which of the following is correct?

A

I and II

B

II and III

C

III and IV

D

II, III and IV

Text Solution

Verified by Experts

The correct Answer is:
D
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