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

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

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expand (cos(x)+1)^2

expand

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

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

Solution steps

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

Apply Perfect Square Formula:

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

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

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

Simplify

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

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

(sin (t) - t cos (t))^{2}

(4 + z) (10 + z)

\frac{1}{2} (- \frac{ln ( 5 x )}{2 x ^{2}} - \frac{1}{4 x ^{2}})

(3 - i)^{7}

\frac{( - 3 + 2 i ) ^{5}}{( - 5 3 + 15 i ) ^{7}}

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