What is expand ((1-cos(θ))^2)/2 ?

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

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expand ((1-cos(θ))^2)/2

expand

\frac{( 1 - cos ( θ ) ) ^{2}}{2}

\frac{1}{2} - cos (θ) + \frac{cos ^{2} ( θ )}{2}

Solution steps

\frac{( 1 - cos ( θ ) ) ^{2}}{2}

(1 - cos (θ))^{2} = 1 - 2 cos (θ) + cos^{2} (θ)

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

Apply the fraction rule:

\frac{a \pm b}{c} = \frac{a}{c} \pm \frac{b}{c}

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

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

Divide the numbers:

\frac{2}{2} = 1

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

\frac{x + 1}{( x + 2 ) ^{3} \cdot ( x + 5 ) \cdot ( x + 6 ) ^{2}}

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

(\frac{( 4 x ^{4} - 1 ) ^{2}}{16 x ^{4}}) + 1

\frac{3 a ^{3} t}{( 7 a ^{2} + t ^{2} )}

\frac{x + 5}{( x - 3 ) ( x + 1 )}

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