How do you solve #3tan^3x-3=0#?

Question

How do you solve #3tan^3x-3=0#?

1 Answer

Impact of this question

2519 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-03-04T19:56:16

#x=kpi+pi/4,kinZ#

Explanation:

#3tan^3x-3=0rArr3(tan^3x-1)=0rArrtan^3x-1=0#
#rArr(tanx-1)(tan^2x+tanx+1)=0##rArr(tanx-1)=0to(1)##ortan^2x+tanx+1=0to(2)#
#color(red)((1)tanx=1rArrtanx=tan(pi/4)rArrx=kpi+pi/4,kinZ)#
#and color(blue)((2)tan^2x+tanx+1=0)#
Comparing with #ax^2+bx+c=0#,we get #a=1,b=1,c=1rArrtriangle=b^2-4ac=(1)^2-4(1)(1),rArrcolor(red)(triangle=-3< 0rArrtanx!inR)#

Science

Math

Humanities

... and beyond

How do you solve #3tan^3x-3=0#?

1 Answer

Explanation:

Related questions

Impact of this question