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What is the sec^2 (pi/3)?

2 Answers

Sep 7, 2015

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

Explanation:

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

$XXXX = \frac{1}{\frac{1}{2}} = 2$ $color(white)("XXXX")= 1/(1/2) = 2$

${sec}^{2} (\frac{π}{3}) = 2^{2} = 4$ $sec^2(pi/3) = 2^2 = 4$
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Sep 7, 2015

${sec}^{2}$ $sec^2$ $\frac{π}{3}$ $pi/3$ = 1/ [ ${cos}^{2}$ $cos^2$ $\frac{π}{3}$ $pi/3$ ] = 1/ ${(\frac{1}{2})}^{2}$ $(1/2) ^2$ = 4

Explanation:

cos $\frac{π}{3}$ $pi/3$ =1/2

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