Name:_________________________________
Algebra 2 Trig Period:___
Date:_____________
U6L9-10 Practice
𝒇(𝜽) = 𝐬𝐢𝐧 𝜽
1.
Find the value of sine for each of the following angles.
𝜽
0°
90°
𝐬𝐢𝐧 𝜽
180°
270°
360°
2. Graph 𝑓(𝜃) = sin 𝜃 between 0° 𝑎𝑛𝑑 360°
3.
On the graph above label where quadrant 1, 2, 3, and 4 would be in respect to the angles.
4. Between 0° 𝑎𝑛𝑑 90° is 𝑓(𝜃) = sin 𝜃 positive or negative? Which quadrant is the representing?
5. Between 90° 𝑎𝑛𝑑 180° is 𝑓(𝜃) = sin 𝜃 positive or negative? Which quadrant is the representing?
6. Between 180° 𝑎𝑛𝑑 270° is 𝑓(𝜃) = sin 𝜃 positive or negative? Which quadrant is the representing?
7. Between 270° 𝑎𝑛𝑑 360° is 𝑓(𝜃) = sin 𝜃 positive or negative? Which quadrant is the representing?
8. Using your answers from #4-7, how is the shape dictated by the sign of the trig value in each quadrant?
𝒇(𝜽) = 𝐜𝐨𝐬 𝜽
9.
Find the value of cosine for each of the following angles.
𝜽
0°
90°
180°
𝐜𝐨𝐬 𝜽
270°
360°
10. Graph 𝑓(𝜃) = cos 𝜃 between 0° 𝑎𝑛𝑑 360°
11. On the graph above label where quadrant 1, 2, 3, and 4 would be in respect to the angles.
12. Between 0° 𝑎𝑛𝑑 90° is 𝑓(𝜃) = cos 𝜃 positive or negative? Which quadrant is the representing?
13. Between 90° 𝑎𝑛𝑑 180° is 𝑓(𝜃) = cos 𝜃 positive or negative? Which quadrant is the representing?
14. Between 180° 𝑎𝑛𝑑 270° is 𝑓(𝜃) = cos 𝜃 positive or negative? Which quadrant is the representing?
15. Between 270° 𝑎𝑛𝑑 360° is 𝑓(𝜃) = cos 𝜃 positive or negative? Which quadrant is the representing?
16. Using your answers from #4-7, how is the shape dictated by the sign of the trig value in each quadrant?