What is expand (sin(x)+2cos(x))^2 ?

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

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expand (sin(x)+2cos(x))^2

expand

(sin (x) + 2 cos (x))^{2}

sin^{2} (x) + 4 cos (x) sin (x) + 4 cos^{2} (x)

Solution steps

(sin (x) + 2 cos (x))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

sin^{2} (x) + 2 sin (x) \cdot 2 cos (x) + (2 cos (x))^{2} : sin^{2} (x) + 4 cos (x) sin (x) + 4 cos^{2} (x)

= sin^{2} (x) + 4 cos (x) sin (x) + 4 cos^{2} (x)

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

(z - 6 i)^{2}

\frac{( x - 6 ) ^{4}}{81}

6 (- 1)^{5} - 24 (- 1)^{3} + 18 (- 1)

\frac{2 ( - 24 s - 6 s ^{2} + 12 )}{s ( - s ^{2} - 3 s + 6 )}

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