Find all the angles between 0 and 180 degree which satisfy the equations. (i) tan( x+60 degree)=1

Answer 1

have

x+60=tan^-1(1)

x+60=45+k*180,,,,k=0,+/-1,...

x=-15+k*180

k=1

x=165 which is in range for x given in problem.

Answer 2

tan (x + 60) = 1

x + 60° = 45°

x = -15°

No solution!

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