File Name: graphs of circular functions and situational problems .zip
This graph is called the unit circle and has its center at the origin and has a radius of 1 unit.
The circle below is drawn in a coordinate system where the circle's center is at the origin and has a radius of 1. This circle is known as a unit circle. The x and y coordinates for each point along the circle may be ascertained by reading off the values on the x and y axes. If you picture a right triangle with one side along the x -axis:. Since both the coordinates are defined by using a unit circle, they are often called circular functions. If you picture a right triangle with one side along the x -axis: then the cosine of the angle would be the x -coordinate and the sine of the angle would be the y -coordinate.
Graphs of Trig Functions
There are two new vocabulary terms that may appear in application problems. You can think of the angle of depression in relation to the movement of your eyes. You are standing at the top of the lighthouse and you are looking straight ahead. You must lower depress your eyes to see the boat in the water. Option 1: find the angle inside the triangle that is adjacent next door to the angle of depression. Not all trigonometry word problems will use the terms "angle of elevation" or "angle of depression". You may need to read carefully to see where to indicate the angle in the problem.
Finally, we consider the graph of the tangent function. For Problems 21–26, find an angle in each quadrant, rounded to tenths, with the same reference angle.
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The only difference is that we scale the horizontal axis in radians. Because we know the basic shapes of the sine and cosine graphs, to make an adequate graph it is usually sufficient to plot the guide points at the quadrantal angles, and then draw a smooth curve through the points. Try it for yourself.
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