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which of the following statement is ...

which of the following statement `is // are ` true ?
(i) f(x) =sin x is increasing in interval `[(-pi)/(2),(pi)/(2)]`
(ii) f(x) = sin x is increasing at all point of the interval `[(-pi)/(2),(pi)/(2)]`
(3) f(x) = sin x is increasing in interval `((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2))`
(4) f(x)=sin x is increasing at all point of the interval `((-pi)/(2),(pi)/(2)) UU ((3pi)/(2),(5pi)/(2))`
(5) f(x) = sin x is increasing in intervals `[(-pi)/(2),(pi)/(2)]& [(3pi)/(2),(5pi)/(2)]`

A

all are correct

B

all are false

C

(3) and (4) are correct

D

(1),(4) & (5) are correct

Text Solution

Verified by Experts

The correct Answer is:
D
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