Example 11
Q.11.  A function out of the following whose period is not  π is
(a)  sin 2   x
(b)  cos 2 x
(c)  tan (2x + 3)
(d)  y = sin   x
Ans. (c)
Solution: y = sin 2 x = 1 2 1 - cos 2 x . Since period of cos x is 2 π so period of cos 2x is π .

Dear Student,
Please find below the solution to the asked query:

We know that fundamental period of sin2nx, cos2nx n is integer , sinx, cosxis π.Hence period of sin2x, cos2x and sinx is π.Now we know thatIf period of fx is T, then period of fax+b is Ta Fundamental period of y=tanx is π, henceFundamental period of y=tan2x+3 is π2.Optionc

Hope this information will clear your doubts about this topic.

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