What is (sin(pix))(1-sin^2(pix))^4 ?

The solution to (sin(pix))(1-sin^2(pix))^4 is cos^8(pix)sin(pix)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sin(pix))(1-sin^2(pix))^4

simplify

(sin (π x)) (1 - sin^{2} (π x))^{4}

cos^{8} (π x) sin (π x)

Solution steps

(sin (π x)) (1 - sin^{2} (π x))^{4}

Remove parentheses:

(a) = a

= sin (π x) (1 - sin^{2} (π x))^{4}

Use the Pythagorean identity:

1 = cos^{2} (x) + sin^{2} (x)

1 - sin^{2} (x) = cos^{2} (x)

= (cos^{2} (π x))^{4} sin (π x)

(cos^{2} (π x))^{4} = cos^{8} (π x)

= cos^{8} (π x) sin (π x)

sin (x) + sin (\frac{π}{2} - x)

sin (arctan (\frac{x}{d}))

tan (arcsin (t))

sin (arctan (\frac{x}{z}))

f (x) 5 sin (x + π)

What is (sin(pix))(1-sin^2(pix))^4 ?
The solution to (sin(pix))(1-sin^2(pix))^4 is cos^8(pix)sin(pix)