Question

if sec theta + tan theta =7 then evaluate sec theta -tan theta

Answer 1

Sorry, if you don't understand ,my phone camera is not clear.

Answer 2

==================================
⭐⭐⭐⭐⭐ ANSWER ⭐⭐⭐⭐⭐
==================================

I am holding the "THETAS" as "x" here.

So, It is given that, sec x + tan x = 7.

Therefore, sec x - tan x = ?

We already know that,

sec²x - tan²x = 1


So, (sec x + tan x) (sec x - tan x) = 1


=> 7 (sec x - tan x) = 1


=> sec x - tan x = 1/7 [ANSWER]


THUS, THE REQUIRED ANSWER IS 1/7.

=================================

⭐⭐⭐ ALWAYS BE BRAINLY ⭐⭐⭐

==================================