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Trignometry

Blazing goIITian

Joined:	1 Nov 2008
Post:	329

6 May 2009 11:15:43 IST

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when does (cosx+sinx) take integral values .........full solution please ........

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when does (cosx+sinx) take integral values .........full solution please ........

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NugoRama

Blazing goIITian

Joined: 11 Mar 2009

Posts: 5517

6 May 2009 11:37:36 IST

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The value of the function ranges from -root2 to root2 ..

only integral values in its range are -1 , 0 , 1 ..

we just have to find where it takes these values ..

-1 ~~ at x= (2n +1)pie or (4n -1)pie/2

1 ~~ at x= (2n)pie or (4n+1)pie/2

0 ~~at x= (4n-1)pie/4 ...

all i did was just calculated the principle value of x ..then generalised it.

aternative: plot a graph..

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