What is expand 2e^t(cos(3t)-3sin(3t)) ?

The solution to expand 2e^t(cos(3t)-3sin(3t)) is 2e^tcos(3t)-6e^tsin(3t)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand 2e^t(cos(3t)-3sin(3t))

expand

2 e^{t} (cos (3 t) - 3 sin (3 t))

2 e^{t} cos (3 t) - 6 e^{t} sin (3 t)

Solution steps

2 e^{t} (cos (3 t) - 3 sin (3 t))

Apply the distributive law:

a (b - c) = ab - a c

a = 2 e^{t}, b = cos (3 t), c = 3 sin (3 t)

= 2 e^{t} cos (3 t) - 2 e^{t} \cdot 3 sin (3 t)

= 2 e^{t} cos (3 t) - 2 \cdot 3 e^{t} sin (3 t)

Multiply the numbers:

2 \cdot 3 = 6

= 2 e^{t} cos (3 t) - 6 e^{t} sin (3 t)

(\frac{x ^{4}}{3} - \frac{y ^{2}}{4}) (\frac{x ^{4}}{3} + \frac{y ^{2}}{4})

(x - (- 2 + i)) (x - (- 2 - i))

(\frac{6}{s ^{3}} - \frac{1}{s + 1}) (1 + \frac{1}{s - 1})

- \frac{40 ( - 34 x ^{4} - 343 x ^{2} - 208 )}{( x ^{2} - 16 ) ^{11}}

\frac{4 ( 3 x ^{2} ( 3 y ^{2} + 1 ) ^{2} - 24 x ^{6} y )}{( 3 y ^{2} + 1 ) ^{3}}

What is expand 2e^t(cos(3t)-3sin(3t)) ?
The solution to expand 2e^t(cos(3t)-3sin(3t)) is 2e^tcos(3t)-6e^tsin(3t)