Which of the following statement is/are true ?

(1) $f (x) = \sin x$ is increasing in interval $[\frac{- π}{2}, \frac{π}{2}⌋$
(2) $f (x) = \sin x$ is increasing at all point of the interval $[\frac{- π}{2}, \frac{π}{2}]$
(3) $f (x) = \sin x$ is increasing in interval $(\frac{- π}{2}, \frac{π}{2}) \cup (\frac{3 π}{2}, \frac{5 π}{2})$
(4) $f (x) = \sin x$ is increasing at all point of the interval $(\frac{- π}{2}, \frac{π}{2}) \cup (\frac{3 π}{2}, \frac{5 π}{2})$
(5) $f (x) = \sin x$ is increasing in intervals $[\frac{- π}{2}, \frac{π}{2}] \cup [\frac{3 π}{2}, \frac{5 π}{2}]$

Question

Important Questions on Application of Derivatives