What is sec^2(x/2)(1/2) ?

The solution to sec^2(x/2)(1/2) is (sec^2(x/2))/2

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simplify sec^2(x/2)(1/2)

simplify

sec^{2} (\frac{x}{2}) (\frac{1}{2})

\frac{sec ^{2} ( \frac{x}{2} )}{2}

Solution steps

sec^{2} (\frac{x}{2}) (\frac{1}{2})

Apply rule:

(a) = a

(\frac{1}{2}) = \frac{1}{2}

= sec^{2} (\frac{x}{2}) \frac{1}{2}

Apply the fraction rule:

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

= \frac{sec ^{2} ( \frac{x}{2} ) \cdot 1}{2}

Apply rule:

a \cdot 1 = a

sec^{2} (\frac{x}{2}) \cdot 1 = sec^{2} (\frac{x}{2})

= \frac{sec ^{2} ( \frac{x}{2} )}{2}

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