Solve for x: tan(3x)=-1 , 0≤x≤180
I worked it out and I found x=7π/12. Because 7π/12 is out of the 0≤x≤180 interval, would that be my final answer?
tan ( 3x ) = -1 = tan ( pi - pi/4 ) = tan ( 3pi/4 ) that gives 3x = 3pi/4 and so x = pi/4
also tan ( 3x ) = -1 = tan ( 2pi - pi/4 ) = tan ( 7pi/4 ) this implies 3x = 7pi/4 thus x = 7pi/12
Now you can draw the correct conclusion
question specifically mentions your domain of x.
its not possible to change the domain.
the only difference that 3x does is to make you include some more values of x
what's the value of 7pi/12
dont be afraid to have multiple answers.
x can have multiple values.