Answer:
θ = 0°
θ = 30°
θ = 150°
θ = 180°
Step-by-step explanation:
2sin² θ = sin θ
Then
2sin² θ - sin θ = 0
Then
sin θ (2sin θ - 1) = 0
Then
sin θ = 0 or 2sin θ - 1 = 0
Then
sin θ = 0 or sin θ = 1/2
…………………………………………
We have sin θ = 0 and - 270° ≤ θ ≤180°
Then
θ = 0 or θ = π = 180°
On the other hand,
sin θ = 1/2 and - 270° ≤ θ ≤180°
Then
θ = π÷6 or θ = 5π÷6
π÷6 = 30° and 5π÷6 = 150°
Answer:
0.0025
Step-by-step explanation:
:)
Answer: the shortest side is 30m
Step-by-step explanation:
Let the shortest side be a meters
If side 2 is 16m longer than the shortest side, then it is (16+a)meters.
The same goes with side 3.
Then,
a + (16+a) + (16+a) = 122m
32 + 3a = 122m
Collecting like terms together,
3a = 122 - 32
3a = 90
Divide by coefficient of a
3a/3 = 90/3
a = 30 meters
Check:
30 + (16+30) + (16+30)
30 + 46 + 46 = 112
Answer:
Step-by-step explanation:
You don't need the Law of Cosines, the Law of sines if what you need. You can't use the Law of Cosines because in order to find side a, you would need the length of side c and you don't have it. Using the Law of Sines is appropriate, knowing that angle B = 55:
and solving for a:
so
a = 143.0