Question

If 2tan^2 x-sec x=1 which of the following are true? select all that apply

Answer 1

Just plug in the given values of sec x and tan x and see if they fit 

For example  if sec x = 1 and tan x = 1 

then we have 2*(1^)2  - 1 = 1 
2 - 1 = 1
so a and d  are true

they may be more  Just try them out

Answer 2

Answer:

option e) secx = 3/2

Step-by-step explanation:

Given that

$2tan^2 x-sec x=1$

Let us write tan square in terms of sec square using the identity that

$1+tan^2 x =sec^2 x$

Substitute for tan square

$2(sec^2 x -1)-secx =1\\2sec^2x-secx-3=0\\(2secx-3)(secx+1)=0$

Equate each factor to 0 to get

sec x = -1 or sec x = 1.5

When sec x =-1, x =180 and tanx =0

Hence correct options is only

option e) secx = 3/2