Answer: x = pi/6 and x = pi/3.
Step-by-step explanation:
We have the function:
y = x + 2*cos(x)
It will have a horizontal tangent at the point where it's derivate is equal to zero.
Then first let's differentiate y.
y' = dy/dx = 1 - 2*sin(x).
Then we must find the value of x between 0 and 2*pi (or 0° and 360°)
y'(x) = 1 - 2*sin(x) = 0.
Let's solve that:
2*sin(x) = 1
sin(x) = 1/2.
We know that:
sin(30°) = 1/2.
and
Sin(120°) = 1/2
Then let's convert 30° into radians.
We know that:
pi = 180°.
Then:
pi/180° = 1.
30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6
120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.
Then the two values of x are: pi/6 and pi/3.
The Triangle sum theorem states that the sum measures of the interior angles of a triangle is 180 degree
<em><u>Solution:</u></em>
We know that,
The Triangle Sum Theorem states that if you add all three interior angles, those are the angles inside the triangle, they would always add up to 180 degrees.
It is easy to remember that we add the three angle measurements to get 180 degrees because of the word sum in the name of the theorem. To make it short and sweet:
Consider a triangle with interior angles a, b, and c. Then we can say,
The Triangle Sum Theorem is also called the Triangle Angle Sum Theorem or Angle Sum Theorem
Answer:
zknj;zhb
Step-by-step explanation:
zJ NKml
D. -48
Put it into your calculator exactly how it is shown up above and you will get the correct answer. Your calculator automatically knows the order of operations.
