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

The solution to expand (cos(2x)-sin(2x))^2-1 is -sin(4x)

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

expand

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

- sin (4 x)

Solution steps

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

Expand

(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) - 1

Rewrite using trig identities

= - sin (4 x)

\frac{x ^{2} - 7 x - 5}{x ( x + 1 ) ^{2}}

f (x) (x = a + 1) - 4

cos^{-} (1) (a - \frac{b}{a} + b)

- 13 (x - \frac{1}{2})

\frac{2 \cdot 3 ^{k} + 3 ( - 1 ) ^{k - 1} + 3}{2}

What is expand (cos(2x)-sin(2x))^2-1 ?
The solution to expand (cos(2x)-sin(2x))^2-1 is -sin(4x)