Question

Root(cosA-1/2)=x then find the value of the x

Answer 1

Check the Attachment

Answer 2

$look \: we \: can \: write \\ \cos( \alpha ) = {cos}^{2} ( \frac{ \alpha }{2} ) - {sin}^{2} ( \frac{ \alpha }{2} ) \\ \\ \\ question \: is \\ \sqrt{ \frac{cos \alpha - 1}{2} } \\ = \sqrt{ \frac{ {cos}^{2} \frac{ \alpha }{2} - {sin}^{2} \frac{ \alpha }{2} - 1 }{2} } \\ = \sqrt{ \frac{ - 2 {sin}^{2}( \frac{ \alpha }{2} ) }{2} } \\ = | isin \frac{ \alpha }{2} |$
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