#22 Algebra 2 Notes
13.3
Finding value of a trig function
in Quadrant 1 only
#22 Algebra 2 Notes
13.3 Finding value of a trig function [Q1 only]
Review
Use the given point on the terminal side of an angle 0 in standard position to find sin 0, cos 0, and tan 0.
1.
sin 0 =
2.
(4,3)
cos 0 =
tan 0 =
(2,­3)
State which quadrant you are in if:
3. cos 0 and sin 0 are both positive
4. cos 0 is negative and sin 0 is positive
(­,+) (+,+)
5. cos 0 is positive and sin 0 is negative
Q2
Q1
Q3
Q4
6. cos 0 is positive and tan 0 is negative
7. cos 0 is positive and tan 0 is positive
8. sin 0 is positive and tan 0 is negative
9. sin 0 is positive and tan 0 is positive
10. cos 0 and sin 0 are both negative
11. sin 0 and tan 0 are both negative
(­,­) (+,­)
Find the indicated trig value [in Quadrant 1 only]:
3
2
12. Given cos 0= 5 and
13. Given cos 0= 3 and
0 is in QI, find sin 0
0 is in QI, find sin 0
4
1
#22 Algebra 2 Notes
13.3
Finding value of a trig function
in Quadrant 1 only
#22 Algebra 2 Notes
13.3 Finding value of a trig function [Q1 only]
Review
Use the given point on the terminal side of an angle 0 in standard position to find sin 0, cos 0, and tan 0.
1.
sin 0 =
2.
(4,3)
cos 0 =
tan 0 =
(2,­3)
State which quadrant you are in if:
3. cos 0 and sin 0 are both positive
4. cos 0 is negative and sin 0 is positive
(­,+) (+,+)
5. cos 0 is positive and sin 0 is negative
Q2
Q1
Q3
Q4
6. cos 0 is positive and tan 0 is negative
7. cos 0 is positive and tan 0 is positive
8. sin 0 is positive and tan 0 is negative
9. sin 0 is positive and tan 0 is positive
10. cos 0 and sin 0 are both negative
11. sin 0 and tan 0 are both negative
(­,­) (+,­)
Find the indicated trig value [in Q1 only]:
12. Given cos 0= 3 and
5
0 is in QI, find sin 0
13. Given cos 0= 2 and
3
0 is in QI, find sin 0
4
1