Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of β
1 answer:
You might be interested in
Answer:
The function is decreasing on the interval
and it is increasing on the interval
Step-by-step explanation:
To determine the intervals of increase and decrease of the function , perform the following steps:
1. Differentiate the function
2. Obtain the roots of the derivative, f'(x) = 0
3. Form open intervals with the roots of the derivative and take a value from every interval and find the sign they have in the derivative.
If f'(x) > 0, f(x) is increasing.
If f'(x) < 0, f(x) is decreasing.
On the interval , take x = -2,
f'(x) > 0 therefore f(x) is increasing
On the interval , take x = 0,
f'(x) < 0 therefore f(x) is decreasing
On the interval , take x = 10,
f'(x) > 0 therefore f(x) is increasing
The function is decreasing on the interval
and it is increasing on the interval