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

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

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

expand

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

- sin (2 a) + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= - sin (2 a) + 1

(x + 3) (x - \frac{1}{2})

\frac{x ^{2} + x}{( x - 4 ) ( x ^{2} + 9 )}

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

(tan (x) + sin (x)) cot (x) - cos (x)

(x - 23) (x + 23)

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