# Chapter 1 - Section 1.4 - Introduction to Identities - 1.4 Problem Set: 65

a. $\frac{1}{16}$

#### Work Step by Step

We know that- $\cos^{2}\theta$ = $(\cos\theta)^{2}$ Substituting the value of $\cos\theta$ $\cos^{2}\theta$ = $(\frac{1}{4})^{2}$ = $\frac{1}{16}$

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