What is expand (cos(x)-sin(x)-1)^2 ?

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand (cos(x)-sin(x)-1)^2

expand

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

2 sin (x) - 2 cos (x) - sin (2 x) + 2

Solution steps

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

Apply exponent rule:

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

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

= (cos (x) - sin (x) - 1) (cos (x) - sin (x) - 1)

Distribute parentheses

= cos (x) cos (x) + cos (x) (- sin (x)) + cos (x) (- 1) - sin (x) cos (x) - sin (x) (- sin (x)) - sin (x) (- 1) - 1 \cdot cos (x) - 1 \cdot (- sin (x)) - 1 \cdot (- 1)

Simplify

cos (x) cos (x) + cos (x) (- sin (x)) + cos (x) (- 1) - sin (x) cos (x) - sin (x) (- sin (x)) - sin (x) (- 1) - 1 \cdot cos (x) - 1 \cdot (- sin (x)) - 1 \cdot (- 1) : 2 sin (x) - 2 cos (x) - sin (2 x) + 2

= 2 sin (x) - 2 cos (x) - sin (2 x) + 2

\frac{1}{s ( s + 5 ) ^{3}}

2 x (2 x + 1)

\frac{8 x}{( x ^{2} + 4 ) ^{2}}

(\frac{5}{8} x + y^{5}) (y^{5} - \frac{5}{8} x)

\frac{5}{x ( x + 3 )}

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