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

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

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

expand

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

- sin (2 x) + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Rewrite using trig identities

= - sin (2 x) + 1

\frac{d}{d t} ((x) (- 2 x y + 5 x))

(5, 1) y (7, - 7)

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

\frac{5 ( 5 - 2 3 )}{13}

\frac{e ^{- 2 s} - e ^{- 4 s} + s ^{2}}{s ( s ^{2} + 1 )}

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