Home » Ask & Discuss » Mathematics. » Trignometry « Back to Discussion

Trignometry

Cool goIITian

Joined:	22 Mar 2008
Post:	88

3 Apr 2008 18:56:04 IST

0 People liked this

359

Help me

None

If f(x)=sin 3X/sin X, X not equal to n,then find range of f(x)

Share this article on:

Comments (2)

Akhil

Blazing goIITian

Joined: 17 Jan 2008

Posts: 1451

3 Apr 2008 19:12:48 IST

Like 0 people liked this

[-1,3)

sin 3X=3sinX-4sin^3X

so f(x)=3-4sin^2X
sin X is not equal to zero

minima is when X tends to sin X=1
3-4=-1
maxima is as sin X tends to 1
but not 1
so max=3, not incuding 3

sandeep ramesh

Blazing goIITian

Joined: 13 Mar 2008

Posts: 1183

3 Apr 2008 19:13:05 IST

Like 0 people liked this

sin3x/sinx = 3 - 4 sin^2x implies range = [-1,3)

EDIT:Beaten by 17 secs :D !

Quick Reply

Reply

	Some HTML allowed.
	Keep your comments above the belt or risk having them deleted.
	Signup for a avatar to have your pictures show up by your comment
	If Members see a thread that violates the Posting Rules, bring it to the attention of the Moderator Team