Pleaase help...What is the difference between sin x+4Π and sin(x+4Π )? I need to find which one equals "sin x"

Question

Pleaase help...What is the difference between sin x+4Π  and sin(x+4Π )?  I need to find which one equals "sin x"

anonymous · Answer

sin x+4"pie" would be true, correct?

anonymous · Answer

true for what?

anonymous · Answer

The question asks which equation is "true"... one of these equals  "sin x"

campbell_st · Answer

think about the graph 

y = x     has a y intercept y  0

y = x + 2  has a y intercept of y = 2    its a parallel line and moved "up" the y axis 2 units

y = x - 5  has a y-intercept y = -5... parallel to y = x but moved"down" the y axis 5 units


the same principal can be applied to y = sin(x) + 4pi... 

same graph as y = sin(x) just moved up............ units

y = sin(x + 4pi) is saying add 2 revolutions to x then find the sin... 

or in terms of degrees  x + 720.... so do the quadrants for the unit circle change 

hope it makes sense...

anonymous · Answer

I think i get this.. so you are saying sin x +4pi does NOT equal sin x?

campbell_st · Answer

its the graph but translated....

anonymous · Answer

Right and I need to find the one where placed on top of one another, the graphs are identical.. so that would not be it...