Question

If sec thita + tan thita = 4
Explain ans my frnds..

Answer 1

I have used Pythagorean triplets and the identity
$( \tan( \alpha ) )^{2} = (\sec( \alpha ) )^{2} - 1$

Answer 2

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$\underline\bold{\huge{ANSWER \: :}}$
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The shortest and easiest solution to this numerical, I am going to provide you here. Lets see step-by-step solution.

Here, i am holding "THETAS" as "x".

Given, sec x + tan x = 4.

We also know, sec²x - tan²x = 1

=> (sec x + tan x) (sec x - tan x) = 1

=> 4 (sec x - tan x) = 1

=> (sec x - tan x) = 1/4

=> sec x - tan x = 0.25 [OPTION(3)]



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HENCE, THE REQUIRED ANSWER IS :

Sec x - tan x = 0.25

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