One root of the equation tan x = x is

One root of the equation tan x = x is Correct Answer x = 0

Explanation:

Plotting tan x and x on the graph, we found tan x = x at some values.

[ alt="F1 Abhishek P Shraddha 11.08.2021 D1" src="//storage.googleapis.com/tb-img/production/21/08/F1_Abhishek%20P_Shraddha%20_11.08.2021_D1.png" style="width: 372px; height: 279px;">

So, from the graph, we can say x = 0 is one of the solution for tan x - x = 0

Also, numerically if we put x = 0 in tan x = x, we get

LHS = tan x = tan 0° = 0

RHS = x = 0

⇒ LHS = RHS

Hence, One root of the equation tan x = x is x = 0.

Related Questions

Which of the following represents the correct matching set.   Type of root   Example a) Taproot root i) Banyan tree b) Adventitious root ii) Carrot c) Prop root iii) Sugarcane d) Stilt root iv) Sweet potato