What is expand (1+cos(θ))^2 ?

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

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expand (1+cos(θ))^2

expand

(1 + cos (θ))^{2}

1 + 2 cos (θ) + cos^{2} (θ)

Solution steps

(1 + cos (θ))^{2}

Apply Perfect Square Formula:

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

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

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

Simplify

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

= 1 + 2 cos (θ) + cos^{2} (θ)

\frac{x ^{2} + 2 x - 5}{( x - 1 ) ( x ^{2} - 9 )}

(2 - x)^{2}

(2 x^{3} + \frac{1}{x})^{29}

\frac{x ^{4}}{( x - 1 ) ^{3}}

(csc (x) - cot (x))^{2}

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