Answer:
sec x.
Step-by-step explanation:
cos( - x) + tan( – x)sin( – x)
= cos(-x) + sin(-x)sin(-x) / cos(-x)
= cos(-x)(cos(-x) + sin^2x / cos(-x)
= (cos^2x + sin^2 x) / cos(-x)
= 1 / cos(-x)
= 1 /cos x
= sec x.
= sec (-x).
Answer:
sec x
Step-by-step explanation:
cos (-x) = cos x (even function)
tan (-x) = -tan x = -sin x / cos x
sin (-x) = - sin x (odd function)
Then: cos( - x) + tan( – x)sin( – x) becomes:
sin x -sin x
cos(x) - ------------ * -----------
cos x 1
or
cos²x sin²x 1
------------ + ------------ = --------------- = sec x (answer)
cos x 1 cos x
