Example 2
Completion requirements
| Example 2 |
Given the standard position angle of \(145^\circ\), determine which trigonometric ratio is positive.
Step 1: Determine in which quadrant the angle terminates.
Because \(145^\circ\) is less than \(180^\circ\) and more than \(90^\circ\), it terminates in Quadrant II.
Step 2: Using CAST, determine which ratio is positive.
In Quadrant II, only sine is positive (the āSā in CAST). As such, sin \(145^\circ\) is positive.
Because \(145^\circ\) is less than \(180^\circ\) and more than \(90^\circ\), it terminates in Quadrant II.
Step 2: Using CAST, determine which ratio is positive.
In Quadrant II, only sine is positive (the āSā in CAST). As such, sin \(145^\circ\) is positive.