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# At what points in the interval [0, 2π], does the function sin 2x attain its maximum value?

Let f(x) = sin 2x. Then, we evaluate the values of f at critical pointsand at the end points of the interval . Hence, we can conclude that the absolute maximum value of f on is occurring atand.

Let f(x) = sin 2x.

Then, we evaluate the values of f at critical pointsand at the end points of the interval [0, 2π].

Hence, we can conclude that the absolute maximum value of f on [0, 2π] is occurring atand.

B. Sc maths(h) from Delhi University 2014-2017

At 45 degree and 135 degree

Top rated IIT JEE Maths Tutor (15 years Experience)

is maximum when Hence sin2x is maximum for x = . Further Sin2x is maximum for x = since sin = 1. Hence for given domain we have two absoulte maxima.

$Sinx$ is maximum when $x&space;=&space;\pi&space;/2.$

Hence sin2x is maximum for x = $\pi/4$.

Further Sin2x is maximum for x = $5\pi/4$ since sin$5\pi/2$ = 1.

Hence for given domain we have two absoulte maxima.

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Max of f(x) will be =1 at x=Π/4 and 5Π/4

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