What is expand (56sin(7t)-33cos(7t))^2 ?

The solution to expand (56sin(7t)-33cos(7t))^2 is 3136sin^2(7t)-3696cos(7t)sin(7t)+1089cos^2(7t)

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expand (56sin(7t)-33cos(7t))^2

expand

(56 sin (7 t) - 33 cos (7 t))^{2}

3136 sin^{2} (7 t) - 3696 cos (7 t) sin (7 t) + 1089 cos^{2} (7 t)

Solution steps

(56 sin (7 t) - 33 cos (7 t))^{2}

Apply Perfect Square Formula:

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

(56 sin (7 t) - 33 cos (7 t))^{2} = (56 sin (7 t))^{2} - 2 \cdot 56 sin (7 t) \cdot 33 cos (7 t) + (33 cos (7 t))^{2}

= (56 sin (7 t))^{2} - 2 \cdot 56 sin (7 t) \cdot 33 cos (7 t) + (33 cos (7 t))^{2}

Simplify

(56 sin (7 t))^{2} - 2 \cdot 56 sin (7 t) \cdot 33 cos (7 t) + (33 cos (7 t))^{2} : 3136 sin^{2} (7 t) - 3696 cos (7 t) sin (7 t) + 1089 cos^{2} (7 t)

= 3136 sin^{2} (7 t) - 3696 cos (7 t) sin (7 t) + 1089 cos^{2} (7 t)

5 x - 6 \cdot x + 8

x^{\frac{2}{3}} (2 x - 5)

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

t + H (t - π) (2 (t - π) + H (t - π))

(y^{3} x^{2} + 2 y) d x + x^{2} y^{3} (4 y d x + 5 x d y)

What is expand (56sin(7t)-33cos(7t))^2 ?
The solution to expand (56sin(7t)-33cos(7t))^2 is 3136sin^2(7t)-3696cos(7t)sin(7t)+1089cos^2(7t)