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Trigonometric Ratios of
Angles in Standard Position

Source: Compass - DNY59/E+/Getty Images

Compass Directions

Source: World Map - prospective56/iStock/Getty Images; Vancouver - temmuzcan/E+/Getty Images;
Sydney - BackyardProduction/iStock/Getty Images; Airplane - Victor Metelskiy/iStock/Getty Images

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Lesson Goals

  • Draw angles in standard position on the Cartesian plane.
  • Determine the primary trigonometric ratios of angles from \(0^\circ \) to \(360^\circ\).

Try This

Recall

Ensure that your calculator is in degrees (DEG) mode.

Use your calculator to evaluate each expression and explain why the value makes sense.

  1. \(\cos \left( 0^\circ \right) \)
  2. \(\sin \left( 0^\circ \right) \)
  3. \(\tan \left( 90^\circ \right) \)