The number of solutions of the equation 32 tan 2 x + 32 sec 2 x = 81 ,   0 ≤ x ≤ π 4 is :

Question

The number of solutions of the equation 32 tan 2 x + 32 sec 2 x = 81 , &#160; 0 &#8804; x &#8804; &#960; 4 is :

Aicharya · Accepted Answer

Given, 32 tan 2 x + 32 sec 2 x = 81 , &#160; &#160; &#160; &#160; &#160; 0 &#8804; x &#8804; &#960; 4 32 tan 2 x + 32 1 + tan 2 x = 81 32 tan 2 x + 32 . 32 tan 2 x = 81 33 &#215; 32 tan 2 x = 81 32 tan 2 x = 27 11 tan 2 x = ln 32 27 11 tan x = ln 32 27 11 &#8712; 0 , 1 One solution in 0 , &#960; 4

The number of solutions of the equation 32 tan 2 x + 32 sec 2 x = 81 ,   0 ≤ x ≤ π 4…

Solution

The number of solutions of the equation 32 tan 2 x + 32 sec 2 x = 81 , &#160; 0 &#8804; x &#8804; &#960; 4…

Solution

The number of solutions of the equation 32 tan 2 x + 32 sec 2 x = 81 , 0 ≤ x ≤ π 4…