What are the key features of the graphs of the trigonometric functions?
The sine and cosine functions have several distinct characteristics:
- They are periodic functions with a period of 2π.
- The domain of each function is (−∞,∞) and the range is [−1,1].
- The graph of y = sin x is symmetric about the origin, because it is an odd function.
What are the three main functions of trigonometry?
The three basic trig functions are the Sine, Cosine, and Tangent functions.
What are the main trigonometric functions?
There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).
What do trigonometric graphs represent?
They are used for modelling many different natural and mechanical phenomena (populations, waves, engines, acoustics, electronics, UV intensity, growth of plants and animals, etc). The trigonometric graphs in this chapter are periodic, which means the shape repeats itself exactly after a certain amount of time.
How does the value of a affect the behavior of the graph of the function y a sin BX?
Clearly we can see the affect a has on the graph y = a sin (bx + c). When 0 < a < 1, the amplitude of the graph decreases, causing the slopes of the graph to appear more “flat”. When a > 1, the amplitude of the graph increases, causing the slopes of the graph to appear more “steep”.
How do you read trigonometric graphs?
58 second clip suggested11:00Trigonometry – Reading transformations from the graphYouTube
How is trigonometry graphs used in real life?
Trigonometry is used to set directions such as the north south east west, it tells you what direction to take with the compass to get on a straight direction. It is used in navigation in order to pinpoint a location. It is also used to find the distance of the shore from a point in the sea.
How does the value affect the behavior of the graph of the function?
The end behavior of the graph of a polynomial function is determined by values within the function. These two values determine the end behavior of a polynomial as follows: Degree is even and lead coefficient positive: both ends point up. Degree is even and lead coefficient is negative: both ends point down.