Find another angle between 0 and 360 that has the same cosin

Find another angle between 0 and 360 that has the same cosine as 205 . (That is, find satisfying cos()=cos(205 ) .)

Solution

cos()=cos(205^o)

cos()=cos(180^o+25^o)

cos()=-cos(25^o)

cos()=cos(180^o-25^o)

cos()=cos(155^o)

another angle between 0^o and 360^o that has the same cosine as 205^o is 155^o