What is expand (1+2cos(θ))^2 ?

The solution to expand (1+2cos(θ))^2 is 1+4cos(θ)+4cos^2(θ)

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expand (1+2cos(θ))^2

expand

(1 + 2 cos (θ))^{2}

1 + 4 cos (θ) + 4 cos^{2} (θ)

Solution steps

(1 + 2 cos (θ))^{2}

Apply Perfect Square Formula:

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

(1 + 2 cos (θ))^{2} = 1^{2} + 2 \cdot 1 \cdot 2 cos (θ) + (2 cos (θ))^{2}

= 1^{2} + 2 \cdot 1 \cdot 2 cos (θ) + (2 cos (θ))^{2}

Simplify

1^{2} + 2 \cdot 1 \cdot 2 cos (θ) + (2 cos (θ))^{2} : 1 + 4 cos (θ) + 4 cos^{2} (θ)

= 1 + 4 cos (θ) + 4 cos^{2} (θ)

\frac{π ( ( 16 A ^{2} + 9 ) ^{\frac{3}{2}} - 27 )}{72}

(- 2 - 3 i)^{7}

(e^{\frac{x}{a}} - e^{- \frac{x}{a}})^{2}

\frac{( 1 + e ^{- 2 s} )}{( 4 s + 1 ) ( 3 s + 1 )}

i s \cdot (i s + 1) \cdot (i s + 3) \cdot (i s + 5)

What is expand (1+2cos(θ))^2 ?
The solution to expand (1+2cos(θ))^2 is 1+4cos(θ)+4cos^2(θ)