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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.

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Q: Why is degrees not taken as the angle of reference in trignometry?
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Why is 90 degree not taken as the angle of reference in trigonometry?

The angle of reference is in the first quadrant, and 90 degrees angle is not in the quadrant.


Why is ninety degree not taken as the angle of reference?

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.


How do you figure out the angles of a circle when one angle is given?

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.


What bearing should a ship sail on in order to return to port after sailing from port on a bearing of 050 degrees for 150 km and then on a bearing of 140 degrees for 200 km?

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.


Three radii in a circle form three angles-Two of the angles measure 130 degrees each-What is the measure of the third angle?

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.