The period of `f(x)=(1)/(2){(| sinx|)/(cos x)+(|cos|)/(sinx)}`, isA. Statement-1 is True, Statement-2 is True, statement-2 is a correct explanation for the statement-1 .B. Statement-1 is True, Statement-2 is True, statement-2 is not a correct explanation for the statement-1 .C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False , Statement-2 is True.

The period of `f(x)=(1)/(2){(| sinx|)/(cos x)+(|cos|)/(sinx)}`, isA. S

1.	The period of `f(x)=(1)/(2){(\| sinx\|)/(cos x)+(\|cos\|)/(sinx)}`, isA. Statement-1 is True, Statement-2 is True, statement-2 is a correct explanation for the statement-1 .B. Statement-1 is True, Statement-2 is True, statement-2 is not a correct explanation for the statement-1 .C. Statement-1 is True, Statement-2 is False.D. Statement-1 is False , Statement-2 is True.
Answer» Correct Answer - B We have. `f(x)=(1)/(2)((\|sin\|)/(cosx)+(sinx)/(\|cosx\|))` `impliesf(x)={{:(tanx,x in [0,pi//2)),(0,x in(pi//2,pi]),(-tanx,x in [pi,3pi//2)),(0,x in[3pi//2,2pi]):}` Clearly , f(x) is preiodic with period ` 2pi`. So, Statement-1 is ture. Also , Statement-2 is true.

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