Question

any body solve this question no 4​

Answer 1

Answer: x=30

Step-by-step explanation:

given secx +tanx=(3)^(1/2)

tan x + sec x = √3

squaring on both sides

(tan x + sec x)2 = √32

tan2x+sec2x+2 tanx sec x = 3

sec2x - tan2x = 1

tan2x + 1+ tan2x+ 2tanx secx = 3

2tan2x+2tanxsecx = 3-1

tan2x+tanx secx = 2/2

tan2x+tanx secx = 1

tanx secx = 1 - tan2x

again squaring on both sides

tan2x sec2x = 1 + tan4x - 2 tan2x

( 1+ tan2x ) tan2x = 1 + tan4x - 2 tan2x

tan4x + tan2x = 1 + tan4x - 2 tan2x

3 tan2x = 1

tan x = 1/√3

x = 30.

HOPE THIS HELPED U