What is the average rate of change of g over the interval [-2,4]
1 answer:
You might be interested in
Option D: is the solution
Explanation:
The given expression is
We need to determine the solution of the expression.
<u>Solution:</u>
The solution of the expression can be determined by solving the expression for the variable x.
Thus, we have,
Adding both sides of the expression by 1, we get,
Dividing both sides of the expression by 3, we get,
Thus, the solution of the expression is
Hence, Option D is the correct answer.
Answer:
- 150° and 210°
- 0
Step-by-step explanation:
It is convenient to memorize the trig functions of the "special angles" of 30°, 45°, 60°, as well as the way the signs of trig functions change in the different quadrants. Realizing that the (x, y) coordinates on the unit circle correspond to (cos(θ), sin(θ)) can make it somewhat easier.
__
<h3>20.</h3>You have memorized that cos(x) = (√3)/2 is true for x = 30°. That is the reference angle for the 2nd-quadrant angle 180° -30° = 150°, and for the 3rd-quadrant angle 180° +30° = 210°.
Cos(x) is negative in the 2nd and 3rd quadrants, so the angles you're looking for are
150° and 210°
__
<h3>Bonus</h3>You have memorized that sin(π/4) = √2/2, and that cos(3π/4) = -√2/2. The sum of these values is ...
√2/2 + (-√2/2) = 0
_____
<em>Additional comments</em>
Your calculator can help you with both of these problems.
The coordinates given on the attached unit circle chart are (cos(θ), sin(θ)).
