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If cos (A) = 1/2 with A in QIV, find sec (A/2).
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If cos (A) = 1/2 with A in QIV, find sec (A/2).

User Krutik Jayswal
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1 Answer

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cos(A)= (1)/(2) \Rightarrow A=\pm (\pi)/(3) +2k\pi,k \in Z

A ∈ IV quadrant ⇒
A=- (\pi)/(3)


\sec{ (A)/(2)}= \frac{1}{\cos{(A)/(2)}}= \frac{1}{\cos{(- (\pi)/(3) )/(2)}}= \frac{1}{\cos{(- (\pi)/(6) )}}= \frac{1}{\cos{ (\pi)/(6)}}= (1)/( ( √(3) )/(2) ) = (2)/( √(3) )
User Goodmayhem
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