let's think about this a little bit will be drawn by unit circle so think about that too technip to expel use that will give us a tangent of three-fourths so that we draw my unit circle that's the unit circle redraw unit download this is always the hardest part so redraw this r ight their inspired units or call so how can i get the triangle or or we're listing but that would how can i get a triangle who where and angle is attended of three four two river candid is opposite over adjacent right tangent is opposite over adjacent so if missus wire triangle right over here if this is acs opposite over adjacent is equal to three fourths so opposite could be three an adjacent could be and we hopefully immediately recognize this this is the this is a three four five triangle too right triangle three square plus four square it is twenty five which is five squares as of three four triangle there's too headed values so x could be like this and this obviously isn't isn't eight unit high partners who over here but we can divide everything by five it would be so we could have the situation we could have been situation over here where this is actually this is the uh... circle the hypothesis one this is three over five and this is for over five this word tended of ax here canada backs would give us the reports but it was going to give us a maximum value were minimal value well over here both close sign both co-signed of acts and sign of x are going to be positive so both of these are going to be positive values so screw them probably maximize maximize the six pressure over here by the other x that gives us the same tangent remember the standard is really just the slope the radius of the unit circle would be the angle would be the single this is the same this has the same kenton value so dispatched this x over this actually and this case the tended to still the tended to still going to be three-fourths but over here the science co-signed our negatives over here overhear the xc ward at or the co-sign is going to be negative four fifths and the sign value or or the wide values used to be negative three-fifths and this will give us this will give us minimum boy because here everything is every ball the sign in the coastline are negative so let's use