Trignometry

New kid on the Block

Joined: 5 Apr 2012
Post: 1
5 Apr 2012 09:25:25 IST
0 People liked this
2
302 View Post
find the number of point on or inside the circle x^2+y^2=4 that satisfy tan^4x+cot^4x+1=3
Engineering Entrance , JEE Main , JEE Main & Advanced , Mathematics , Trigonometry

 find the number of point on or inside the circle x^2+y^2=4 that satisfy tan^4x+cot^4x+1=3sin^2y

 



Comments (2)


Hot goIITian

Joined: 11 Mar 2012
Posts: 124
5 Apr 2012 09:50:37 IST
0 people liked this

3

Bipin Dubey's Avatar

Forum Expert
Joined: 23 Jan 2007
Posts: 7958
5 Apr 2012 13:41:16 IST
0 people liked this

Clearly LHS>=0 and RHS<=0,  this is possible only when LHS=RHS=0

Solving these two separately in the range [-2,2] (as (x,y) lies inside or on the circle) we get

Required points are  : 

So we have 4 points which satisfy the condition




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
Free Sign Up!
Sponsored Ads

Preparing for JEE?

Kickstart your preparation with new improved study material - Books & Online Test Series for JEE 2014/ 2015


@ INR 5,443/-

For Quick Info

Name

Mobile

E-mail

City

Class

Vertical Limit

Top Contributors
All Time This Month Last Week
1. Bipin Dubey
Altitude - 16545 m
Post - 7958
2. Himanshu
Altitude - 10925 m
Post - 3836
3. Hari Shankar
Altitude - 10085 m
Post - 2217
4. edison
Altitude - 10825 m
Post - 7804
5. Sagar Saxena
Altitude - 8635 m
Post - 8064
6. Yagyadutt Mishr..
Altitude - 6330 m
Post - 1958

Find Posts by Topics

Physics

Topics

Mathematics

Chemistry

Biology

Parents Corner

Board

Fun Zone