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Name_____________________________________
Trig – Missing Angle
Date_______
IA 1 Per____
Warm-Up: Given triangle ABC with right angle at C, set up the following trig ratios.
Sin A =
Cos A =
Sin B =
A
26
Cos B =
B
Tan A =
C
24
Tan B =
A
1. Given triangle ABC with right angle at C, set up the following trig ratios.
(Convert each fraction to a decimal with 4 decimal places)
Sin A =
Sin B =
Cos A =
Cos B =
Tan A =
10
8
10
C
6
Tan B =
2. Given the following triangle, identify the following:
Sin 30 =
Sin 60 =
Cos 30 =
Cos 60 =
Tan 30 =
Tan 60 =
A
30O
2
3
C
60O
1
B
Using the calculator
Every angle in a right triangle has a trigonometric ratio that applied to it. If we know the measure of
the angle, but not the sides, we can still find the ratio, in decimal form using our calculators.
3. Evaluate the following trigonometric ratios using your calculator.
Sin 30 =
Cos 30 =
Tan 30 =
Sin 60 =
Cos 60 =
Tan 60 =
B
4. Given the trig ratio, find the measure of the angle x to the nearest degree.
Sin x = .8345
Cos x = .3198
Tan x = 1.9876
Tan x = .5648
Sin x = .6514
Cos x = .0934
Cos x =
9
15
Tan x =
12
7
Sin x =
4
5
5. Find the measure of angle A and angle B to the nearest degree:
a)
b)
A
A
7
6
13
B
C
C
18
B
A
A
c)
d)
24
25
7
C
C
B
B
17
6. Find the value of x and round your answers to the nearest tenth.
a)
xo
b)
45 ft.
50 meters
xo
50 ft.
7 meters
B
c)
d)
17ft
A
41
C
x
15ft
A
40
C
x
B