5 pts Simplify the expression as much as possible secx sin

(5 pts) Simplify the expression as much as possible. sec(x) + sin (x) tan(-x) = help (formulas)

Solution

sec x + sin x(-tanx)

sec x- sin²x/cos x

sec x-sin²x* sec x

sec x(1-sin²x)

secx* cos²x

(1/cosx)*cos²x =cos x