Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Chapter 2 - Acute Angles and Right Triangles - Section 2.3 Finding Trigonometric Function Values Using a Calculator - 2.3 Exercises - Page 67: 42


It could be found by finding the terminal angle of $\cos$ 2000$^{\circ}$, and then using that terminal angle to find the reference angle which would be significantly smaller, and could be used to evaluate the equation.

Work Step by Step

2000$^{\circ}$ - 5(360$^{\circ}$) = 200$^{\circ}$ 200$^{\circ}$ = The terminal angle of 2000$^{\circ}$ 180$^{\circ}$ - 200$^{\circ}$ = -20$^{\circ}$ -20$^{\circ}$ = The reference angle of 200$^{\circ}$ Therefore: $\cos$ 2000$^{\circ}$ = -$\cos$ 20$^{\circ}$ -$\cos$ 20$^{\circ}$ = -0.93969262
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