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Use a trigonometric identity to find the indicated value in the specified quadrant.

Function Value Quadrant Value

cos θ = 3/8 I sec θ

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lukyo

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Cosine and secant functions are reciprocal, which means

\(\mathsf{sec\,\theta=\dfrac{1}{cos\,\theta}}\)


So, if  \(\mathsf{cos\,\theta=\dfrac{3}{8},}\)  then

\(\mathsf{sec\,\theta=\dfrac{1}{~\frac{3}{8}~}}\\\\\\ \mathsf{sec\,\theta=\dfrac{8}{3}\qquad\quad\checkmark}\)


I hope this helps. =)


Tags:   cosine secant cos sec relation reciprocal trig trigonometry

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