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To convert angles from radian mode to degree mode.
Remember 180 degrees = pi radians .
So 2pi /3 radians = 2(180)/3 = 120 degrees.
120 degrees is an obtuse angle.
What else can I help you with?
A full rotation?
360 degrees or 2(pi) radians of angle.
Why is 90 degrees taken as angle of reference in trigonometry?
It is not. The angle of reference is 2*pi radians or 360 degrees.
What is the limit of arc tan?
The principal range of arc tan is an angle in the open interval (-pi/2, pi/2) radians = (-90, 90) degrees.
Why does the formula for area of a sector one half r-squared theta not hold true if theta is measured in degrees?
If this is a homework assignment, please consider trying it yourself first, otherwise the value of the reinforcement to the lesson offered by the homework will be lost on you.The area of a circle is pi r2.The area of a sector, defined as the proportion of an angle theta over the angle of a full circle is (pi r2 theta) / (2 pi). That simplifies to (r2 theta) / 2.Using degrees, the same equation is (pi r2 theta) / 360. That does not simplify any further.The reason for this is that theta in radians is defined as the proportion of the circumference of the circle, which is 2 pi r. This makes the math come out easier, which is why most trigonometry is done in radians, not degrees.
What is is the function which outputs an angle when a tangent value is input?
The function that outputs an angle when a tangent value is input is called the arctangent function, denoted as ( \tan^{-1}(x) ) or ( \text{atan}(x) ). It takes a real number ( x ) (the tangent value) and returns the angle ( \theta ) in radians (or degrees) such that ( \tan(\theta) = x ). The range of the arctangent function is typically from (-\frac{\pi}{2}) to (\frac{\pi}{2}) radians.
What are different kinds of angle differentiate each angle?
Acute angle in the range (0, pi/2) radians = (0, 90) degrees.Right angle = pi/2 radians = 90 degrees.Obtuse angle in the range (pi/2, pi) radians = (90, 180) degrees.Straight angle = pi radians = 180 degrees.Reflex angle in the range (pi, 2*pi) radians = (180, 360) degrees.Full turn = 2*pi radians = 360 degrees.
What kind of angle is 4 pi divided by 5?
pi = 180 degrees pi / 2 = 90 degrees 2 pi = 360 degrees so pi / 5 = 180 / 5 = 36 36 x 4 = 144 degrees a 144 degree angle is obtuse
What is the sin pi over 2?
Sine(pi/2) = 1 This is 'Radian' measure of an angle. pi/2 radians = 90 degrees. When you see something like 'Sine(pi/2)' make sure your calculator is in RADIAN mode. ' NOT degree mode.
What is the reference angle for -17pie divided by 6?
-23
What is the least positive angle co terminal with A pi divided by 6?
To find the least positive angle coterminal with ( \frac{\pi}{6} ), you can add or subtract multiples of ( 2\pi ). Since ( \frac{\pi}{6} ) is already a positive angle and less than ( 2\pi ), it is the least positive angle coterminal with itself. Therefore, the least positive angle coterminal with ( \frac{\pi}{6} ) is ( \frac{\pi}{6} ).
What angle is a cube?
The measure of the angle of a cube is pi/2 steradians.
Why straight angle is not reflex angle?
A straight angle is pi radians (180 degrees). A reflex angle is more than pi radian but less than 2*pi radians (between 180 and 360 degrees).
What is 2 pi over 2?
2 pi / 2 = pi.
What is the measure of an angle that is complement of angle M?
pi/2 - M radians
What are the measurements of a right angle?
pi/2 radians.
What is a 360 degree angle in terms of pi?
A 360-degree angle is equivalent to (2\pi) radians. This is because the full circle is divided into (2\pi) radians, where (180) degrees corresponds to (\pi) radians. Therefore, to express a full rotation in radians, we use (360^\circ = 2\pi).
Is a obtuse angle less or greater than a right angle?
An Obtuse angle is greater than a Right Angle. An Obtuse angle measures more than 90 degrees or pi/2 radians, while a right angle is exactly 90 degrees or pi/2 radians.
