maxima minima made easy

Question

Consider the function f (x) = sin x in the interval X<--[pi/4, 7pi/4]. The number of location/s of the local minima are __________ .

Answer 1

  X is from 45 deg to 315 deg 

here from graph we get minima @270 deg. (Answer)

Comments

https://gateoverflow.in/41/gate2012_9

Answer 2

They have asked for "local" minima. 45 is also a local minima. 45 and 270.

Hence 2