We will see that the solution in the given interval is: x = 0.349 radians.
<h3>How to solve equations with the variable in the argument of a cosine?</h3>
We want to solve:
cos(3*x) = 1/2
Here we must use the inverse cosine function, Acos(x). Remember that:
cos(Acos(x)) = Acos(cos(x)) = x.
If we apply that in both sides, we get:
Acos( cos(3x) ) = Acos(1/2)
3*x = Acos(1/2)
x = Acos(1/2)/3 = 0.349
So x is equal to 0.349 radians, which belongs to the given interval.
If you want to learn more about trigonometry, you can read:
brainly.com/question/8120556
9514 1404 393
Answer:
44.66 in
Step-by-step explanation:
The side opposite the marked angle is given, and the side adjacent to it is the one wanted. The relevant trig relation is ...
Tan = Opposite/Adjacent
Solving for the Adjacent side, we find ...
Adjacent = Opposite/Tan
PQ = (29 in)/tan(33°) ≈ 44.66 in
<u>Answer:</u>
Minimum possible area = 6.75 km^2
Maximum possible area = 13.75 km^2
<u>Step-by-step explanation:</u>
This question relates to significant figures so assuming that each of the given values is rounded off to the nearest kilometer.
So we can find the minimum and maximum possible areas of the rectangle.
Minimum possible area of rectangle = 1.5 × 4.5 = 6.75 square kilometers
Maximum possible area of rectangle = 2.5 × 5.5 = 13.75 square kilometers
I would love to help! What's the question?
