What is e^{-iwt}+e^{iwt} ?

The solution to e^{-iwt}+e^{iwt} is 2cos(wt)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify e^{-iwt}+e^{iwt}

simplify

e^{- i wt} + e^{i wt}

2 cos (wt)

Solution steps

e^{- i wt} + e^{i wt}

e^{- i wt} = cos (wt) - i sin (wt)

e^{i wt} = cos (wt) + i sin (wt)

= cos (wt) - i sin (wt) + cos (wt) + i sin (wt)

Group like terms

= cos (wt) + cos (wt) - i sin (wt) + i sin (wt)

Add similar elements:

cos (wt) + cos (wt) = 2 cos (wt)

= 2 cos (wt) - i sin (wt) + i sin (wt)

Add similar elements:

- i sin (wt) + i sin (wt) = 0

= 2 cos (wt)

x 4 - 6 x 2 + 1

[- 4.8]

[(m - 4) + n] [(m - 4) - n]

sin^{4} (x) - cos^{4 x} (x)

(7 d^{3} - 4) + (- 8 d^{2} + 3 d)