Question

Use a trigonometric identity to find the indicated value in the specified quadrant.
Function Value Quadrant Value
cos θ = 3/8 I sec θ

Answer 1

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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