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

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

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

expand

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

- sin (2 \cdot 2 t) + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(i + 2)^{5}

(\frac{1}{4} x^{2} y + \frac{x}{y})^{10}

\frac{( 10 tan ^{2} ( x ) + 10 sec ( x ) )}{tan ( x ) ( 1 + sec ( x ) )}

(1 - \frac{x}{4}) (1 + 2 x)^{6}

(x + y = 18) (30)

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