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Cosine and secant functions are reciprocal, which means
[tex]\mathsf{sec\,\theta=\dfrac{1}{cos\,\theta}}[/tex]
So, if [tex]\mathsf{cos\,\theta=\dfrac{3}{8},}[/tex] then
[tex]\mathsf{sec\,\theta=\dfrac{1}{~\frac{3}{8}~}}\\\\\\
\mathsf{sec\,\theta=\dfrac{8}{3}\qquad\quad\checkmark}[/tex]
I hope this helps. =)
Tags: cosine secant cos sec relation reciprocal trig trigonometry
