Find the exact value of 2sec(π/4) + 4cot(π/3).
Do I find cos(π/4) & tan(π/3)?

Question

Find the exact value of 2sec(π/4) + 4cot(π/3).
Do I find cos(π/4) & tan(π/3)?

anonymous · Answer

yes...

mazehaq · Answer

cos(π/4)= sqrt2/2 & tan(π/3)= sqrt3, right?

anonymous · Answer

yes... so just take the reciprocals and replace them in your original problem.

mazehaq · Answer

Do I ignore sec & cot, sorry, I just learned this today.

anonymous · Answer

no...
$\large cos\frac{\pi}{4}=\frac{\sqrt2}{2} $
so this means:
$\large sec\frac{\pi}{4}=\frac{2}{\sqrt2} $

mazehaq · Answer

Right, I got that.

mazehaq · Answer

So far.

anonymous · Answer

and since
$\large tan\frac{\pi}{3}=\sqrt3 $
then
$\large cot\frac{\pi}{3}=\frac{1}{\sqrt3} $

plug these values into the original problem

anonymous · Answer

$\large 2sec\frac{\pi}{4}+4cot\frac{\pi}{3}=2(\frac{2}{\sqrt2})+4(\frac{1}{\sqrt3}) $

anonymous · Answer

first one is (1/ (cos (pie/4)))*2 = 2 *under root 2 

second one (1/tan(pie/3))*4 =4 under root 3

5.14 is the answer :D

mazehaq · Answer

Thanks you guys, but ByteMe, wouldn't I rationalize & then solve?

anonymous · Answer

also divide by 3|dw:1350474625133:dw|