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Related and Coterminal Angles

Source: Snowboarder - Artranq/iStock/Getty Images

Snow Tricks

Snowboarder doing a trick during a jump.  

Skier doing a trick during a jump.

Sources: Snowboard Trick - vm/E+/Getty Images; Ski Trick - technotr/iStock/Getty Images; Sequence - flisk/iStock/Getty Images

1440 Triple Cork

A sequence showing the 1440 triple cork.

Source: Moran, A. (2018, February 9). [1440 triple cork].

Retrieved from https://www.canadiangeographic.ca/article/infographic-physics-slopestyle

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Lesson Goals

  • Define and calculate related acute angles and trigonometric ratios for angles between ‌\(0^\circ\) and \(360^\circ\).
  • Calculate the measure of angles between ‌\(0^\circ\) and \(360^\circ\) from a given trigonometric ratio.
  • Define coterminal angles to connect negative angles and angles greater than \(360^\circ\) with angles between ‌\(0^\circ\) and \(360^\circ\).

Try This

  1. Without using a calculator, determine the primary trigonometric ratios of \(-540^\circ\).
  2. Identify two other angles whose trigonometric ratios would be equal to the trigonometric ratios of \(-540^\circ\).