Question

Please Help! solve: 3tan(x/2)+3=0 for 0 < theta <180degrees

Answer 1

3tan(x/2)+3=0
3 tan(x/2)=-3
tan(x/2)=-1
Now, let y=x/2 then,
tan(y)=-1 , 0<y<90

Answer 2

Now, solve for y
can u?

Answer 3

think i am confused on how to go about solving for y..

Answer 4

if you take the inverse of tan to both side you will get y =-45
tan(y)=-1
arctan(y)=arctan(-1)
y=-45
and since 0<y<90
then y=180-45=135

Answer 5

which are out of range So, NO SOLUTION of y..
Thus, NO solution of x

Answer 6

this range 0<y<90
for y or x
in the origin problem 0<y<90 or 0<x<90

Answer 7

Since, 0<x<180 and y=x/2
range of y is 0<y<90