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

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

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

simplify

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

cos (x)

Solution steps

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

Rewrite using trig identities

= cos (x)

\frac{6 v ^{5} w ^{5}}{18 v ^{2} w ^{3}}

12 \div 12

(4 + 2 i) - (1 - 7 i)

- x \cdot x

\frac{12}{15} \div \frac{4}{25}