Trig Ratio Possibilities (Hints)

Students: Use this app to help you construct reference triangles for various angles drawn in standard position. Choose your ratio and then enter its exact value. Slide the setup slider to help determine possible locations for the terminal ray of .

1.

Suppose you know the cosecant ratio of a certain angle drawn in standard position. How can you use the applet above to help you see the possible quadrant(s), if any, for which its terminal ray lies?

2.

Same question as in (1), yet replace the word cosecant with secant.

3.

Same question as in (1), yet replace the word cosecant with cotangent.

Quick Demo. How can you tell which quadrants in which the terminal ray of the angle will lie even before drawing out all possibilities? (BGM: Andy Hunter)