Find another angle ? between 0? and 360? that has the same cosine as 225?. (That is, find ? satisfying cos(?)=cos(225?).)
a) Find an angle ? between 0? and 360? that has the same cosine as 225?. (That is, find ? satisfying cos(?)=cos(225?))
?= (in degrees)
(b) Find another angle ? between 0? and 360? that has the same sine as 225?. (That is, find ? satisfying sin(?)=sin(225?))
?= (in degrees)
Answer: a)
cos(?) =cos(250o)
cos(?) =cos(180o?+70o)
cos(?) =-cos(70o)
cos(?) =cos(180o-70o)
cos(?) =cos(110o)
?=110 (in degrees)
Answer: (b)
sin(?)=sin(250?)
sin(?)=sin(180+70?)
sin(?)=-sin(70?)
sin(?)=sin(-70?)
sin(?)=sin(360o-70?)
sin(?)=sin(290?)
?= 290 degrees
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