They often are. Sometimes, however, radians are used for the measures of angles and for labeling graphs. This is because later aspects of trigonometry, like polar coordinates, arc lengths, and wave graphs, are more easily explored with radians. Pi commonly appears and is more easily understood as π than as 3.14159.... Circles, with areas of πr^2, are frequent and periods of wave function are almost always expressed in radians. Radians become as useful and widespread as degrees.
The angle of reference is in the first quadrant, and 90 degrees angle is not in the quadrant.
in trig a reference angle is ised to create a reference triangle in the first quadrant by using any point except the origin that lies on the terminal side of the ref. angle and drawing a perpendicular to the x-axis. for 90 degrees the terminal side is the y-axis and the perpendicular would not create a triangle, but just retrace the y-axis.
A complete circle is 360 degrees. If one angle is given, then that angle can be taken away. For instance: an angle of 90 degrees is a quarter of a circle - measured clockwise from 0. 90 degrees from 360 means that 3/4 or 270 degrees is remaining.
We will assume that the curvature of the Earth is not taken into account for this. Approx heading = 283 degrees & Distance = 250 km from port.Draw a rough sketch with questions like these and in fact the course taken by the ship works out as a right angle triangle.
The idea is that three lines coming out from the center point of a circle (three radii) form three angles -- imagine, for an easy example, the Mercedes-Benz logo. Then the question is: if two of the angles each measure 130 degrees, what does the third angle measure? Well, the first two together measure 260 degrees. So, how many degrees in a circle overall are left, once 260 are taken out? There are 360 degrees in a circle, so the answer is 100.
It is not. The angle of reference is 2*pi radians or 360 degrees.
The angle of reference is in the first quadrant, and 90 degrees angle is not in the quadrant.
in trig a reference angle is ised to create a reference triangle in the first quadrant by using any point except the origin that lies on the terminal side of the ref. angle and drawing a perpendicular to the x-axis. for 90 degrees the terminal side is the y-axis and the perpendicular would not create a triangle, but just retrace the y-axis.
If I understand the question correctly, the answer is that it is simply a case of convention. For bearings, for example, the reference line is North and angles are measured clockwise. In 2-D polar coordinates, the reference line is the horizontal (going East) and angles are measured in the anti-clockwise direction.
A complete circle is 360 degrees. If one angle is given, then that angle can be taken away. For instance: an angle of 90 degrees is a quarter of a circle - measured clockwise from 0. 90 degrees from 360 means that 3/4 or 270 degrees is remaining.
178 degrees is the largest angle for an obtuse angle because 180 is a straight angle and 90 degrees is an right angle and below 90 degrees is an acute angle. Some supposedly say that the answer is 179,But it's not! the reason behind this is because in a triangle all the angles have to add up to 180 degrees. There are 3 points to a triangle so there has to be 2 extra degrees taken off of 180, which equals to 178. Explanation is terms: angle A + angle B + angle C = 180 degrees [Sum of supplementary angles of a triangle] 178 degrees + 1 degree + 1 degree = 180 degrees which makes sense. I figured this out when i was doing homework... Hope this helps you other people
Technically, no, because a compliment is the difference between any one angle and 90 degrees. In essence, two compliments make a right angle. If this was taken to this example, you could say, theoretically, that the compliment could be -5 degrees, but I'm not sure about negative angles. If it were a question on a test, if anything, I would put -5
Distance is the magnitude of the change in position, while direction indicates the path taken relative to the reference point. This information can be used to describe the displacement of an object in terms of distance and angle from the reference point.
Describing anything as a total means that some process of addition or subtraction has taken place, therefore an angle, meaning a single angle, is not a total of anything. You would have to have at least two angles to form a total. In the case of a 90 degree total, you might obtain that from two angles both of 45 degrees. Or 30 degrees and 60 degrees. Or infinitely many other possibilities.
Angular speed is angle covered by time taken ... in 60 min the angle covered by minute hand is 360. in 5 min it will be 360/60x 5 it will be 30 degrees or pie/6 time taken is 5 minutes Angular velocity --- pie/6x5 pie/30
We will assume that the curvature of the Earth is not taken into account for this. Approx heading = 283 degrees & Distance = 250 km from port.Draw a rough sketch with questions like these and in fact the course taken by the ship works out as a right angle triangle.
reference books