How do you evaluate ${sec}^{2} (\frac{π}{3})$ $sec^2 (pi/3)$ ?

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Answer 1 · 2016-03-26T04:31:22

${sec}^{2} (\frac{π}{3}) = 4$ $sec^2(pi/3)=4$

As $cos (\frac{π}{3}) = \frac{1}{2}$ $cos(pi/3)=1/2$ ,

$sec (\frac{π}{3}) = \frac{1}{cos (\frac{π}{3})} = \frac{1}{\frac{1}{2}} = 2$ $sec(pi/3)=1/(cos(pi/3))=1/(1/2)=2$

Hence ${sec}^{2} (\frac{π}{3}) = 2^{2} = 4$ $sec^2(pi/3)=2^2=4$

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