Download Unit6 L1_5_ OTL Six trig ratios KEY

Name: ________KEY___________________
Adv. Alg. Trig.
OTL : The six Trigonometry Ratios
Find the six trig functions of  .
25
24
8
csc  =
sin  =
sin  =
1)
2)

24
25
17
25
7
15
sec  =
cos  =
cos  =
7
17
25
8
17
24
7
24
8
cot  =
tan  =
tan  =
24
7

15
7
17
8
17
sec  =
15
15
cot  =
8
csc  =
If  is an acute angle, find the unknown trigonometric value using the given information.
3) sec  if cos  =
1
3
4) cot  if tan  = 5
3
5) csc  if sin  =
12
13
13
12
1
5
Given the two ratios, find the other four trigonometric ratios. Use a sketch of each. All answers should be
simplified and rationalized.
6) sin  =
2 5
5
and cos  =
5
5
7) sec  = 4 and tan  = 2 2
tan  = 2
sin  =
csc  =
2
2
5
2
cos  =
1
4
sec =
5
1
cot =
2
csc =
2
cot =
Find the exact values for each.
8) cot 390°
9) sec -
3
12) cot -270°
0

4
2
13) sec
17
4
2
10) csc 
Undefined
14) csc
-2
7
6
11) csc
4
3
2 3
3
15) cot -
7
2
Undefined
2
4