Notes #6
13.1
Evaluating
Trigonometric Functions
Algebra 2 Notes #6
13.1 Evaluating Trig Functions
Review: Give the 6 Trig Ratios of 0 .
use "OPP", "ADJ", and "HYP"
Sin =
Csc
=
Cos =
Sec
=
Tan =
Cot
=
Use a calculator to evaluate the trigonometric function.
Round result to 4 decimal places.
o
o
1. sin 14
o
2. cos 14
o
3. tan 14
4. sin 30
o
5. cos 30
o
6. tan 30
o
7. sin 45
o
8. cos 45
o
9. tan 45
Give the trig ratio for each problem using the picture
provided.
10.
b
c
Sin =
a
11.
b
a
c
12.
b
c
a
Cos =
Tan =
Decide which trig ratio you would use to solve for x. Set up
an equation and solve for x. Round to the nearest tenth.
13.
14.
Decide which trig ratio you would use to solve for x. Set up
an equation and solve for x. Round to the nearest tenth.
Notes #6
13.1
Evaluating
Trigonometric Functions
Algebra 2 Notes #6
13.1 Evaluating Trig Functions
Review: Give the 6 Trig Ratios of 0 .
use "OPP", "ADJ", and "HYP"
OPP
Sin =
HYP
ADJ
Cos =
HYP
OPP
Tan =
ADJ
HYP
Csc =
OPP
HYP
Sec =
ADJ
ADJ
Cot =
OPP
Use a calculator to evaluate the trigonometric function.
Round result to 4 decimal places.
o
o
o
1. sin 14 .2419 4. sin 30 .5
7. sin 45 .7071
o
o
2. cos 14 .9703 5. cos 30 .8660 8. cos 45o .7071
o
o
3. tan 14 .2493 6. tan 30 .5774 9. tan 45o 1
Give the trig ratio for each problem using the picture
provided.
10.
b
c
Sin =
b
c
Cos =
a
c
Tan =
b
a
a
11.
b
a
a
c
b
c
a
b
b
c
a
c
b
a
c
12.
b
c
a
Decide which trig ratio you would use to solve for x. Set up
an equation and solve for x. Round to the nearest tenth.
14.
13.
hyp
opp
hyp
opp
adj
adj
tan 60 = 9
cos 30 = 4
x sin 60 = 9
x tan 60 = 9
x cos 30 = 4
x sin 60 = 9
x tan 60 = 9
9
sin 60 = x
sin 60
x = 10.4
sin 60
x
tan 60
x = 5.2
tan 60
x
x cos 30 = 4
cos 30 cos 30
x = 4.6
Decide which trig ratio you would use to solve for x. Set up
an equation and solve for x. Round to the nearest tenth.
adj
16.
opp
adj
opp
tan 30 = x 10 hyp
hyp
x cos 45 =
sin 45 = x 11 11cos 45 = x
11sin 45 = x
x = 11cos 45 x = 11sin 45 11 10 tan 30 = x
x = 10 tan 30 x = 5.8 x = 2.3 x = 2.3