Is 2cosx=cos2x?

i have misinterrupted

no it isn't. 2cos (x) is 2 multiplied by cos (x), cos (2x) is cos (2 multiplied by x) meaning 2x is the angle you're taking the cosine of. if you want to know what cos (2x) look up the double angle rule.

No they are not the same.

Step-by-step explanation:

No, they are not the same.

2 cos x you have a vertical stretch and the 2 is called the Amplitude.

cos 2x the 2 is like a horizontal compression and this alters the period of cos, which the new period will be at pi instead of 2pi