## Trigonometry 7th Edition

Published by Cengage Learning

# Chapter 1 - Section 1.1 - Angles, Degrees, and Special Triangles - 1.1 Problem Set: 27

1 second

#### Work Step by Step

One complete revolution is equivalent to $360^{\circ}$ Time taken to rotate through $360^{\circ}$ = 4 seconds Time taken to rotate through $1^{\circ}$ = $\frac{4}{360}$ seconds Time taken to rotate through $90^{\circ}$ = $\frac{4}{360} \times 90$ seconds = 1 second

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