Date: Sat, 28 Aug 1999 15:06:53 -0300
My question is can the following be factored. I am a teacher who needs the factors to this right away. 2 Sin2X + 2 SinX CosX - 1= 0
Factors I don't see but if the problem is to solve for x then the double angle expressions for sine and cosine make it possible.
sin 2x = 2 sin x cos x
cos 2x = cos2x - sin2x = 1 - 2 sin2x
2 sin2x + 2 sin x cos x -1 = 0
is equivalent to
sin 2x - cos 2x = 0
sin 2x = cos 2x
tan 2x = 1.
Hence, in the first quadrant, 2x is 45o
To return to the previous page use your browser's back button.