What is expand e^{4t}cos(4t)(sin(4t)-cos(4t)) ?

The solution to expand e^{4t}cos(4t)(sin(4t)-cos(4t)) is e^{4t}cos(4t)sin(4t)-e^{4t}cos^2(4t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand e^{4t}cos(4t)(sin(4t)-cos(4t))

expand

e^{4 t} cos (4 t) (sin (4 t) - cos (4 t))

e^{4 t} cos (4 t) sin (4 t) - e^{4 t} cos^{2} (4 t)

Solution steps

e^{4 t} cos (4 t) (sin (4 t) - cos (4 t))

Apply the distributive law:

a (b - c) = ab - a c

a = e^{4 t} cos (4 t), b = sin (4 t), c = cos (4 t)

= e^{4 t} cos (4 t) sin (4 t) - e^{4 t} cos (4 t) cos (4 t)

e^{4 t} cos (4 t) cos (4 t) = e^{4 t} cos^{2} (4 t)

= e^{4 t} cos (4 t) sin (4 t) - e^{4 t} cos^{2} (4 t)

(a - b) (b - c) (c - d) (d - e) (a - e)

(4, 3, 10) y (5, - 3, 2)

x ln^{2} (x) - 2 (x ln (x) - x) + C

ln (\frac{9 x}{x - 9})

(3 x^{2} + 4 x - 5)^{5}

What is expand e^{4t}cos(4t)(sin(4t)-cos(4t)) ?
The solution to expand e^{4t}cos(4t)(sin(4t)-cos(4t)) is e^{4t}cos(4t)sin(4t)-e^{4t}cos^2(4t)