|

Trignometry

New kid on the Block

 Joined: 15 Feb 2009 Post: 18
15 Jul 2009 14:57:28 IST
0 People liked this
5
473
Simplyfy-sin^4x+cos^4x
Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Trigonometry

Simplyfy-sin^4x+cos^4x

Blazing goIITian

Joined: 13 Jun 2008
Posts: 611
15 Jul 2009 15:13:00 IST
0 people liked this

sin^4(x)+cos^4(x)

={sin^2(x)}^2+{cos^2(x)} ^2

={sin^2(x)+cos^2(x)}^2-2sin^2(x)cos^2(x)

=1-2sin^2(x)cos^2(x)

tell me whether i am correct or not?

Hot goIITian

Joined: 2 Dec 2008
Posts: 165
15 Jul 2009 15:23:01 IST
0 people liked this

Blazing goIITian

Joined: 7 May 2007
Posts: 1724
15 Jul 2009 15:35:07 IST
0 people liked this

sin^4(x)+cos^4(x)

={sin^2(x)}^2+{cos^2(x)} ^2

={sin^2(x)+cos^2(x)}^2-2sin^2(x)cos^2(x)

=1-2sin^2(x)cos^2(x)

hope, this helps.

Blazing goIITian

Joined: 8 Oct 2008
Posts: 8064
15 Jul 2009 16:11:22 IST
0 people liked this

it can be further written as:

1 - 1/2 (sin2x)2

Blazing goIITian

Joined: 11 Jun 2009
Posts: 386
15 Jul 2009 22:25:42 IST
1 people liked this

its -sin^4x+cos^4x

0r sin^4x+cos^4x?

cos^4x-sin^4x

=(cos^2x+sin^2x)(cos^2x-sin^2x)

=cos2x

 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

## 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 - 9960 m Post - 2185
4. edison
 Altitude - 10815 m Post - 7797
5. Sagar Saxena
 Altitude - 8625 m Post - 8064
 Altitude - 6330 m Post - 1979

Physics

Topics

Mathematics

Chemistry

Biology

Institutes

Parents Corner

Board

Fun Zone