What is expand (sin(x)-3cos(x))^2 ?

The solution to expand (sin(x)-3cos(x))^2 is sin^2(x)-6cos(x)sin(x)+9cos^2(x)

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expand (sin(x)-3cos(x))^2

expand

(sin (x) - 3 cos (x))^{2}

sin^{2} (x) - 6 cos (x) sin (x) + 9 cos^{2} (x)

Solution steps

(sin (x) - 3 cos (x))^{2}

Apply Perfect Square Formula:

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

(sin (x) - 3 cos (x))^{2} = sin^{2} (x) - 2 sin (x) \cdot 3 cos (x) + (3 cos (x))^{2}

= sin^{2} (x) - 2 sin (x) \cdot 3 cos (x) + (3 cos (x))^{2}

Simplify

sin^{2} (x) - 2 sin (x) \cdot 3 cos (x) + (3 cos (x))^{2} : sin^{2} (x) - 6 cos (x) sin (x) + 9 cos^{2} (x)

= sin^{2} (x) - 6 cos (x) sin (x) + 9 cos^{2} (x)

sin (2) (x + \frac{π}{4})

(y - x)^{2} \cdot (\frac{4 x ^{2} y}{3})

2 \cdot (3 - 1)

\frac{( 2 x + 3 ) ^{2}}{4}

\frac{s ^{2} + 2}{s ( s ^{2} + 4 )}

What is expand (sin(x)-3cos(x))^2 ?
The solution to expand (sin(x)-3cos(x))^2 is sin^2(x)-6cos(x)sin(x)+9cos^2(x)