cbrown9637
cbrown9637 cbrown9637
  • 01-02-2017
  • Mathematics
contestada

how to find the exact value of sec(13pi/6)

Respuesta :

LammettHash
LammettHash LammettHash
  • 01-02-2017
[tex]\dfrac{13\pi}6\equiv\dfrac\pi6\mod2\pi[/tex] (in other words, they represent the same angle on the unit circle)

So,

[tex]\sec\dfrac{13\pi}6=\sec\dfrac\pi6=\dfrac1{\cos\dfrac\pi6}[/tex]

You have [tex]\cos\dfrac\pi6=\dfrac{\sqrt3}2[/tex], so [tex]\sec\dfrac\pi6=\dfrac{\sqrt3}2[/tex]
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