# Chapter 2 - Acute Angles and Right Triangles - Section 2.3 Finding Trigonometric Function Values Using a Calculator - 2.3 Exercises: 41

$\sin$$^{2} 36^{\circ} + \cos$$^{2}$ 36$^{\circ}$ $\approx$ 1

#### Work Step by Step

$\sin$$^{2} 36^{\circ} + \cos$$^{2}$ 36$^{\circ}$ Utilizing a calculator: $\sin$$^{2} 36^{\circ} + \cos$$^{2}$ 36$^{\circ}$ $\approx$ 0.34549150 + 0.65450849 $\sin$$^{2} 36^{\circ} + \cos$$^{2}$ 36$^{\circ}$ $\approx$ 0.99999999 $\sin$$^{2} 36^{\circ} + \cos$$^{2}$ 36$^{\circ}$ $\approx$ 1 Therefore: $\sin$$^{2} 36^{\circ} + \cos$$^{2}$ 36$^{\circ}$ $\approx$ 1

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