# Chapter 4 - Section 4.2 - Trigonometric Functions: The Unit Circle - Exercise Set - Page 548: 36

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#### Work Step by Step

$sin^{2}x$ + $cos^{2}x$ =1 for all x. So for x = $\frac{\pi}{3}$, $sin^{2}\frac{\pi}{3}$ + $cos^{2}\frac{\pi}{3}$ =1.

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