What is e^xcos(x)*e^xcos(x) ?

The solution to e^xcos(x)*e^xcos(x) is e^{2x}cos^2(x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^xcos(x)*e^xcos(x)

simplify

e^{x} cos (x) \cdot e^{x} cos (x)

e^{2 x} cos^{2} (x)

Solution steps

e^{x} cos (x) e^{x} cos (x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

cos (x) cos (x) = cos^{1 + 1} (x)

= e^{x} e^{x} cos^{1 + 1} (x)

Add the numbers:

1 + 1 = 2

= e^{x} e^{x} cos^{2} (x)

Apply exponent rule:

a^{b} \cdot a^{c} = a^{b + c}

e^{x} e^{x} = e^{x + x}

= e^{x + x} cos^{2} (x)

Add similar elements:

x + x = 2 x

= e^{2 x} cos^{2} (x)

(e^{(\frac{1}{4} x)})^{2}

2.2 \cdot 1 0^{- 1}

(5 x y^{2 + b}) (3 y^{2})

7. 1^{2} (e^{- \frac{7.1}{2}})

(y + z)^{2} (x^{3} + x^{2} y) (y + x)^{2} (z^{3} + z^{2} y)

What is e^xcos(x)*e^xcos(x) ?
The solution to e^xcos(x)*e^xcos(x) is e^{2x}cos^2(x)