Graphs
Graphs - In algebra we found that the graph of algebraic functions helped greatly in studying the properties of the function. For the same reason, we shall study the graph of trigonometric functions. In plotting the graph of any ..
Graphs
In plotting the graph of any trigonometric function the angle may be regarded as measured either in radians or in degrees. If a trigonometric function is combined with an algebraic function it is customary to assume that the angle is measure in radians...
Graph:
From the graph it is clear that the curve repeats itself every 360 o (2 p rad). This fact is expressed by the statement that the function has a period of 360 o (2 p radians). In symbols we write cos(x + 360 o .n) = cos(x + 2 p n) = cos x where n is a positive or negative i..
From the graph it is clear that the curve repeats itself every 360 o (2 p rad). This fact is expressed by the statement that the function has a period of 360 o (2 p radians). In symbols we write cos(x + 360 o .n) = cos(x + 2 p n) = cos x where n is a positive or negative i..Points observed from the graph
1) The graph of sinx and cosx have no breaks and they lie between y=1 and y = -1. So sinx and cosx are continuous for all values of x and the values of sinx and cosx always lie between 1 and +1. Hence sinx and cosx are bounded function. 2) There are breaks in the ..
Points observed from the graph
1) The graph of sinx and cosx have no breaks and they lie between y=1 and y = -1. So sinx and cosx are continuous for all values of x and the values of sinx and cosx always lie between 1 and +1. Hence sinx and cosx are bounded function. 2) There are breaks in the graph..
1) The graph of sinx and cosx have no breaks and they lie between y=1 and y = -1. So sinx and cosx are continuous for all values of x and the values of sinx and cosx always lie between 1 and +1. Hence sinx and cosx are bounded function. 2) There are breaks in the graph..Definition of cos
- 1 x cosine inverse x is q and write cos - 1 x = q . In particular, For practical purposes, only principal values of cos - 1 x are considered. cos - 1 x is a function of x with domain [-1,1] and range [0, p ]. The graph of cos - 1 x is as shown in the fig..
- 1 x cosine inverse x is q and write cos - 1 x = q . In particular, For practical purposes, only principal values of cos - 1 x are considered. cos - 1 x is a function of x with domain [-1,1] and range [0, p ]. The graph of cos - 1 x is as shown in the fig..Graph:
(ii) tan..
(ii) tan..Circular Functions and Reciprocal Functions
Other Circular Functions (Reciprocal functions of cos , sin and tan)..
Other Circular Functions (Reciprocal functions of cos , sin and tan)..Periodic Functions
Periodic Functions - The trigonometric functions belong to a large class of functions called periodic functions in which there is a regular repetition of the values of the function over a certain interv..
Circular Functions
The circular functions are functions of an angle. They are important in the study of triangles and modeling periodic phenomena, among many other applications. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the a..
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