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

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

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

expand

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

sin (2 \cdot 2 x) + 1

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= sin (2 \cdot 2 x) + 1

cos (x) (1 - sec (x)) + 1

\frac{e ^{- s}}{s ( s ^{2} - 5 s + 6 )}

2 π r (h + r)

(1 + 3 i)^{7}

lo g_{10} (4) x^{5}

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