Mathematics

Question

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

1 Answer

  • [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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