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

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

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

simplify

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

- sin (2 x) + 1

Solution steps

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

Expand

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

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

Rewrite using trig identities

= - sin (2 x) + 1

lo g_{3} (\frac{1}{3 3})

3 t^{2} - 18 t + 24

2 7^{1 - l o g_{3} (4)}

9^{- 9}