Admin Table of Contents
- 1 How do you find the domain and range of a sine function?
- 2 What is the range of y sin − 1 2x?
- 3 How do you find the range of a sine function algebraically?
- 4 What is the domain of sin inverse of 2x?
- 5 What is the domain of Sinx COSX?
- 6 What are the properties of the sine function?
- 7 Is the domain of sin ( x ) a real number?
How do you find the domain and range of a sine function?
Note that the domain of the function y=sin(x) ) is all real numbers (sine is defined for any angle measure), the range is −1≤y≤1 . The graph of the cosine function looks like this: The domain of the function y=cos(x) is all real numbers (cosine is defined for any angle measure), the range is −1≤y≤1 .
What is range of sin2x?
As the range of sin function is [-1, 1], the range of sin2x is also [-1, 1].
What is the range of y sin − 1 2x?
sin−12x will be in {0,1], so that, f(x)=sin−12x∈[0,√π2] . Thus, Domain is [0,12] and, Range is [0,√π2] .
What is the domain of Sinx?
The function f(x) = sin x has all real numbers in its domain, but its range is −1 ≤ sin x ≤ 1. The values of the sine function are different, depending on whether the angle is in degrees or radians.
How do you find the range of a sine function algebraically?
Solution to Example 3
- The range of sin ( x / π + π) is given by. – 1 ≤ sin ( x / π + π) ≤ 1.
- Multiply all terms of the inequality by 0.1 to obtain.
- Add -2 to all terms of the above inequality to obtain.
- The range of values of 0.1 sin ( x / π + π) -2 may also be written in interval form as follows.
What is sin 2x identity?
sin 2x = 2 sin x cos x. Double-angle identity for sine. • There are three types of double-angle identity for cosine, and we use sum identity. for cosine, first: cos (x + y) = (cos x)(cos y) – (sin x)(sin y)
What is the domain of sin inverse of 2x?
[−2,1]
Which of the following is true domain of sin?
Graphs of Inverse Trigonometric Functions
| Function | Domain | Range |
|---|---|---|
| sin−1(x) | [−1,1] | [−π2,π2] |
| cos−1(x) | [−1,1] | [0,π] |
| tan−1(x) | (−∞,∞) | (−π2,π2) |
| cot−1(x) | (−∞,∞) | (0,π) |
What is the domain of Sinx COSX?
As the domain of sinx as well as cosx is (-∞,∞), thus the domain of the funtion f(x) will the the intersection of the two domains which comes out to be (-∞,∞) that is, that x can take any real value ranging from -∞ to +∞. Therefore, the domain is (-∞,+∞).
Which is the range of y = sin 1 ( x )?
So, the range of y = sin-1 (x) is [-π /2, π /2] More clearly, the range of y = sin-1 (x) is, -π /2 ≤ y ≤ π /2
What are the properties of the sine function?
Sine Function : f (x) = sin (x) 1 Graph 2 Domain: all real numbers 3 Range: [-1 , 1] 4 Period = 2pi 5 x intercepts: x = k pi , where k is an integer. 6 y intercepts: y = 0 7 maximum points: (pi/2 + 2 k pi , 1) , where k is an integer. 8 minimum points: (3pi/2 + 2 k pi , -1) , where k is an integer.
What does the graph of y = sin ( x ) mean?
The graph of y=sin(x) is like a wave that forever oscillates between -1 and 1, in a shape that repeats itself every 2π units. Specifically, this means that the domain of sin(x) is all real numbers, and the range is [-1,1].
Is the domain of sin ( x ) a real number?
That is because the sin (x) exists for any real value of x. There is no real value of x for which sin (x) is undefined. Thus, the domain is the entire real number line, −∞ to +∞. (5 votes)