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

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

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

expand

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

- sin (2 \cdot 2 x) + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= - sin (2 \cdot 2 x) + 1

cos (\frac{7 π}{3})

lo g_{10} (7) (3 x - 2)^{2}

\frac{n ( n + 1 )}{2}

(9 x^{2} - 6 x + 81) arccsc (9 x^{2})

((x + Δ x)^{2} - 2)^{2}

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