Question

Determine the value of \sec \dfrac{11\pi}{6}

Collected in the board: Trigonometry

Steven Zheng posted 5 months ago

Answer

\sec \dfrac{11\pi}{6}

=\sec(2\pi-\dfrac{\pi}{6})

=\sec \dfrac{\pi}{6}


Because the secant function is the reciprocal of the cosine function, we know

\cos \dfrac{\pi}{6}=\dfrac{\sqrt{3} }{2}

\sec \dfrac{\pi}{6} =\dfrac{2\sqrt{3} }{3}

which is also the value of \sec \dfrac{11\pi}{6}

Steven Zheng posted 3 months ago

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