Simplify sin(4x)/ (1+cos(4x)) using the double or half-angle identities....?

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Simplify sin(4x)/ (1+cos(4x)) using the double or half-angle identities....?

2007-04-13 04:45:41 · 4 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics

4 answers

sin(4x) / (1 + cos(4x))

= 2(sin 2x)(cos 2x) / (2cos²2x)

= (sin 2x) / (cos 2x)

= tan 2x

2007-04-13 21:35:38 · answer #1 · answered by Northstar 7 · 1⤊ 0⤋

sin2x + cosx = 0 2 sin x cos x + cos x = 0 cos x ( 2 sin x + a million) =0 both cos x = 0 x = cos^-a million (0) = pi/2 , 3 pi/2 or 2 sinx +a million = 0 sin x = -a million/2 x = sin^-a million ( -a million/2) = 7 pi /6, 11pi/6 so x = pi/2 , 7pi/6 , 3pi/2 , 11pi/6

2016-11-23 17:12:41 · answer #2 · answered by ? 4 · 0⤊ 0⤋

Unless you are going to pay me, I agree with doo dad.

2007-04-13 05:13:33 · answer #3 · answered by Anonymous · 0⤊ 2⤋

You shouldn't get people to do your homework for you. Figure it out yourself.

2007-04-13 04:52:50 · answer #4 · answered by MAGA2020 3 · 0⤊ 3⤋