- Find each of the following inverse trig values (i.e.,
angle measures). State the answer in decimal degrees,
rounded to the nearest hundredth.
- sin-1 0.5495
- cos-1 0.7071
- tan-1 1
|
|
- sin-1 Ö2/2
- cos-1 π/6
- tan-1 10,000
|
- Find each of the following inverse trig values (i.e.,
angle measures).
| a. tan-1 (Ö2
- 1) |
b. sin-1 [(Ö3
- 1) /2Ö2] |
- For each of the following trig ratio values, find the
corresponding (acute) angle θ. State the answer as
the EXACT degree measure.
- sin θ =
Ö2/2
- cos θ =
Ö2/2
- tan θ = 1
|
|
- sin θ = 1/2
- cos θ =
Ö3/2
- tan θ =
Ö3/3
|
- For each of the following trig ratio values, find the
corresponding (acute) angle θ. State the answer as
the EXACT radian measure.
- sin θ = 1/2
- sin θ =
Ö3/2
- cos θ = 0
|
|
- cos θ = 0.5
- tan θ = 1
- tan θ =
Ö3
|
- For each of the following trig ratio values, find the
corresponding (acute) angle θ. State the answer in
DMS and then radian measure,
rounded to the nearest thousandth.
- sin θ = 1/3
- sin θ = 0.2
- cos θ =
Ö3/7
|
|
- cos θ = 0.88
- tan θ = 2
- tan θ =
Öπ
|
-
Find the EXACT degree measure of the angle θ,
corresponding to the triangle in the illustration, at right:
-
Find the DMS measure of the angle θ
(to the nearest whole second), corresponding
to the triangle in the illustration, at right:
-
Find the EXACT radian measure of the angle θ,
corresponding to the triangle in the illustration, at right:
-
Use the right triangle in the illustration, at right, to
find each of the following:
- Find the measure of angle α, rounded to the
nearst tenth of a degree.
- Find the measure of angle β, in DMS
rounded to the nearest whole minute.
- Find the sum of the two angle measures, α +
β = _______°.
-
Use the right triangle in the illustration, at right, to
find each of the following:
- Find the measure of angle α, rounded to the
nearst hundredth of a degree.
- Find the measure of angle β, in DMS
rounded to the nearest tenth of a second.
- Find the sum of the two angle measures, α +
β = _______ radians.
|