cos x / tan x + sec x - cos x / tan x - sec x =...
Matematika
nurhalimah17711
Pertanyaan
cos x / tan x + sec x - cos x / tan x - sec x =...
1 Jawaban
-
1. Jawaban bapakdr
{cos x / (tan x + sec x)} - {cos x / (tan x - sec x)}
perhatikan
a/b - a/c = (ac - ab)/bc
jadi
{cos x(tan x - sec x) - cos x(tan x + sec x)}
------------------------------------------------------------
(tan x + sec x) (tan x - sec x)
cos x{(tan x - sec x) - (tan x + sec x)}
-----------------------------------------------------
tan²x - sec²x
cos x(tan x - sec x - tan x - sec x)
------------------------------------------------
tan²x - sec²x
cos x(-2.sec x)
----------------------
tan²x - sec²x
cos x(-2/cos x)
---------------------
tan²x - sec²x
-2/-1
= 2