Prove that sinxcos^3x - cosx sin^3x = 1/4 sin 4x I am stuck with this one. Thank you in advance!
G Guest Guest Sep 9, 2006 #1 Prove that sinxcos^3x - cosx sin^3x = 1/4 sin 4x I am stuck with this one. Thank you in advance!
stapel Super Moderator Staff member Joined Feb 4, 2004 Messages 16,582 Sep 9, 2006 #2 You've factored out the sin(x)cos(x), and replaced this with (1/2)sin(2x), right? How far have you gotten with the remaining factor of cos<sup>2</sup>(x) - sin<sup>2</sup>(x)? You should have an identity for that bit, too.... Eliz.
You've factored out the sin(x)cos(x), and replaced this with (1/2)sin(2x), right? How far have you gotten with the remaining factor of cos<sup>2</sup>(x) - sin<sup>2</sup>(x)? You should have an identity for that bit, too.... Eliz.