Home » Ask & Discuss » Mathematics
« Back to Discussion

Trignometry

New kid on the Block

Joined:	18 Jun 2012
Post:	4

18 Jun 2012 00:24:51 IST

0 People liked this

197

FIND THE RANGE

Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Trigonometry

How to find the range of f(x) = 2sin3x + 4cos3x ? (solution please)How can acosx+bsinx be put in the form of (a^2+b^2)^(1/2)sin(x+p) where tan p= a/b ?If f(x)= ( 20) ^ (1/2)sin (3x+p) where tan p = 2, how can we conclude that its period is 2pie/3 ? ( solutions please)

Comments (1)

Sagar Saxena

Blazing goIITian

Joined: 8 Oct 2008

Posts: 8064

6 Jul 2012 19:33:18 IST

Like 0 people liked this

Hello

range=(a^2+b^2)^1/2

this can be done by multiplying and diving the expression by above and writing in form:-

(a^2+b^2)^1/2(sin(3x+@))

because one term becomes cos@ and other sin@.

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