Since sin(2x)=2sinxcosx, we can plug that in to get sin(4x)=2sin(2x)cos(2x)=2*2sinxcosxcos(2x)=4sinxcosxcos(2x). Since cos(2x) = cos^2x-sin^2x, we plug that in. In addition, cos4x=cos^2(2x)-sin^2(2x). Next, since cos^2x=(1+cos(2x))/2 and sin^2x= (1-cos(2x))/2, we plug those in to end up with 4sinxcosxcos(2x)-((1+cos(2x))/2-(1-cos(2x))/2)
=4sinxcosxcos(2x)-(2cos(2x)/2)=4sinxcosxcos(2x)-cos(2x)
=cos(2x)*(4sinxcosx-1). Since sinxcosx=sin(2x), we plug that back in to end up with cos(2x)*(4sin(2x)-1)
Answer:
(Red, 1) (Red, 2) (Red, 3) (Red, 4) (Red, 5) (Red, 6)
(Blue, 1) (Blue, 2) (Blue, 3) (Blue, 4) (Blue, 5) (Blue, 6)
Step-by-step explanation:
The term ion is an atom or molecule with a net electric charge due to the loss or gain of one or more electrons. hydrogen is a colorless, odorless, highly flammable gas, the chemical element of atomic number 1 carbonic acid <span>Carbonic acid is a chemical compound with the chemical formula H₂CO₃. It is also a name sometimes given to solutions of carbon dioxide in water, because such solutions contain small amounts of H₂CO these are all i know</span>
