What is (cos^2(x))/2-(sin^2(x))/2 ?

The solution to (cos^2(x))/2-(sin^2(x))/2 is (cos(2x))/2

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simplify (cos^2(x))/2-(sin^2(x))/2

simplify

\frac{cos ^{2} ( x )}{2} - \frac{sin ^{2} ( x )}{2}

\frac{cos ( 2 x )}{2}

Solution steps

\frac{cos ^{2} ( x )}{2} - \frac{sin ^{2} ( x )}{2}

Join

\frac{cos ^{2} ( x )}{2} - \frac{sin ^{2} ( x )}{2} : \frac{cos ^{2} ( x ) - sin ^{2} ( x )}{2}

= \frac{cos ^{2} ( x ) - sin ^{2} ( x )}{2}

Simplify

cos^{2} (x) - sin^{2} (x) : cos (2 x)

= \frac{cos ( 2 x )}{2}

(5 - 2 x)^{3}

3 x^{2} - 10 x y + 3 y^{2}

x^{3} - 9 y^{3} + (x + y)^{3}

12 x^{3} - 5 x^{2} + 1

5 y + 2 - 3 y

What is (cos^2(x))/2-(sin^2(x))/2 ?
The solution to (cos^2(x))/2-(sin^2(x))/2 is (cos(2x))/2