Question

sec x - (tan x)(sin x ) is equal to ​

Answer 1

answer is cos x.........

Answer 2

~ Trigonometry

Use the Identity's formula :

$= \sec(x) - \tan(x) . \sin(x) \\ = \frac{1}{ \cos(x) } - \frac{ \sin(x) }{ \cos(x) } . \sin(x) \\ = \frac{1 - \sin^{2} (x) }{ \cos(x) } \\ = \frac{ \cos^{2} (x) }{ \cos(x) } \\ = \cos(x)$

Hope it can help you !