Question

Pls solve maths class 11th chapter trigo ques

Answer 1

Answer:

Given : x € [0,2n] , tan8x (cos x - sin x)/

(cos x + sin x)

To Find : number of values of x satisfying the equation

Solution:

Tan8x = (cosx - Sinx)/(Cosx + Sinx)

using Sinx = Cosx.Tanx

=>Tan8x = Cosx(1- Tanx)/Cosx(1+ Tanx)

=> Tan8x = (1-Tanx)/(1 + Tanx)

> Tan8x = (1 -Tanx)/(1 + 1.Tanx)

1 = Tan(nr+1/4) nez

=> Tan8x = (Tan(nt+1/4) - Tanx)/(1+ Tan(n+1/4). Tanx)

Tan(A - B) = (Tan A - TanB)/(1+ TanA.TanB)

=> Tan8x = Tan/nr+1/4 - x)

8x = nπ + π/4 - X

=> 9x = n + 1/4

=> x = (4n + T)/36

xE [0,2T]

O< (4nn +T)/36 < 21

=> 0< (4nn + TT) 5 7211

=> 0 < 4 n + <72

=> 0< 4nπ + 5721

=> -TT < 4nT <71n

=> -1 < 4n < 71

=> -1/4 < n = 71/4

=> n = 0 to 17

Answer 2

Answer:

17 is answer dear friend