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

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

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

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

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

(2, 3 i) (2, - 3 i)

3 (e^{t} - 1)^{2}

(e^{j t} - e^{- j t})^{5}

(y^{3} + k x y^{4} - 10 x) d x + (3 x y^{2} + 29 x^{2} y^{3})

\frac{d}{d x} ((2 - x^{2}) cos (x^{2})) + 2 x sin (x^{2})

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