How do you solve tan(x)(tanx+1)=0tan(x)(tanx+1)=0?

1 Answer
Mar 29, 2018

x=0,(3pi)/4, pi,(7pi)/4,,2pi, (11pi)/4, 3pi,(15pi)/4,....

Explanation:

tanx(tanx+1)=0

tanx=0

x=0,pi,2pi,3pi,....

tanx+1=0

tanx=-1

x=pi-pi/4, 2pi-pi/4, 3pi-pi/4,4pi-pi/4,...

x=(3pi)/4, (7pi)/4, (11pi)/4, (15pi)/4,....

Combining and arranging in the increasing order

x=0,(3pi)/4, pi,(7pi)/4,,2pi, (11pi)/4, 3pi,(15pi)/4,....