What is (sin(a)-1)(sin(a)+1) ?

The solution to (sin(a)-1)(sin(a)+1) is -cos^2(a)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify (sin(a)-1)(sin(a)+1)

simplify

(sin (a) - 1) (sin (a) + 1)

- cos^{2} (a)

Solution steps

(sin (a) - 1) (sin (a) + 1)

Expand

(sin (a) + 1) (sin (a) - 1) : sin^{2} (a) - 1

= sin^{2} (a) - 1

Use the Pythagorean identity:

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

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

= - cos^{2} (a)

a (2, - 1, 1) + b (1, - 6, 2)

\frac{( x - 1 ) ( x + 1 )}{x}

(1 + x^{2} - x 1 + x^{2}) (1 + x^{2})

8 (e^{- 0.4 t} - e^{- 0.6 t})

(3 x + 8 y - 24 = 0,) (9 x - 2 y - 18 = 0)

What is (sin(a)-1)(sin(a)+1) ?
The solution to (sin(a)-1)(sin(a)+1) is -cos^2(a)