0

Guest

Courses New

The general solution of the equation tanx + tan( x + pi/3 ) + tan (x + 2pi/3 ) =3

The general solution of the equation tanx + tan( x + pi/3 ) + tan (x + 2pi/3 ) =3

Grade:12

1 Answers

Laltesh Singh
50 Points
6 years ago
tanx + tanx + tanπ/3/1 - tanx tanπ/3 + tanx + tan2π/3/1 - tanx tan2π/3 = 3tanx + tanx + √3/1 - tanx √3 + tanx - √3/1 + tanx √3 = 3tan x ( 1+ √3 tanx) ( tanx + √3) + ( 1- √3 tanx) ( tanx - √3)/ (1+√3tanx) (1 - √3 tanx) = 3tanx + √3 + tanx + √3 tan^2x + 3tanx + tanx -√3 -√3 tan^2x + 3tanx/1 - 3t^2 = 3tanx + 8 tanx/1 - 3tan^2x = 39tanx - 3tan^3x/ 1-cos 3tan^2x = 33tan3x = 3tan3x = 13x = nπ + π/4x = nπ/3 + π/12

Think You Can Provide A Better Answer ?

Other Related Questions on IIT JEE Entrance Exam

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More