What is expand (1+cos(x))^2 ?

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

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expand (1+cos(x))^2

expand

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

1 + 2 cos (x) + cos^{2} (x)

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 + 2 cos (x) + cos^{2} (x)

(x - i y)^{2}

(1 - sin (x))^{2}

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

\frac{n ( n + 1 ) ( 2 n + 1 )}{6}

(x - 1)^{2}

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