What is (cos(t)+isin(t))^2 ?

The solution to (cos(t)+isin(t))^2 is cos(2t)+sin(2t)i

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (cos(t)+isin(t))^2

simplify

(cos (t) + i sin (t))^{2}

cos (2 t) + sin (2 t) i

Solution steps

(cos (t) + i sin (t))^{2}

Apply Perfect Square Formula:

(a + b)^{2} = a^{2} + 2 ab + b^{2}

(cos (t) + i sin (t))^{2} = cos^{2} (t) + 2 cos (t) i sin (t) + (i sin (t))^{2}

= cos^{2} (t) + 2 cos (t) i sin (t) + (i sin (t))^{2}

Simplify

cos^{2} (t) + 2 cos (t) i sin (t) + (i sin (t))^{2} : i sin (2 t) + cos (2 t)

= i sin (2 t) + cos (2 t)

Rewrite in standard complex form:

cos (2 t) + sin (2 t) i

= cos (2 t) + sin (2 t) i

\frac{x}{( x - 2 ) ( x + 5 )}

\frac{d ^{2}}{d x ^{2}} (x^{4}) + (x - 1)^{4}

R (- 4, 3, - 7) S (0, 3, 0)

(2 + 3) (1 + 3)

- \frac{1}{3} (y - x)

What is (cos(t)+isin(t))^2 ?
The solution to (cos(t)+isin(t))^2 is cos(2t)+sin(2t)i