What is the range of the sine function?

Q: Define what is an important property of the sine and cosine functions?

A: The most important property of Sine and Cosine functions is: The sine function is Periodic and odd.…

Q: How would you explain the meaning of the sine function toa fellow student who has just completed…

A: The most intelligent approach for this discussion I believe would revolve around the right triangle…

Q: What is the equation of a sine or cosine function to describe the graph?

A: Let the function corresponding to the given graph be f(x).  From the graph, we can observe that if…

Q: What are the Trigonometric Functions?

A: If a function involves any trigonometric expressions, then that function is called Trigonometric…

Q: What is the range of the sine function?

A: We know, domain of sine function is all real numbers. Also, -1≤sinx≤1 ⇒range of sinx is [-1,1].

Q: What are the basic trigonometric functions?

A: In a triangle , if we denote opposite= a, adjacent=b and hypotenuse= c

Q: Determine the amplitude of the function y = 5 sin x. Also, choose its graph.

A:

Q: What is the range of the sine function? Use the unit circle to explain where this range comes from.

A: To Determine:  What is the range of the sine function? Use the unit circle to explain where this…

Q: Find the exact value of:

A: To find the value of: tan-1(-3) Solution: We know that domain of function tan-1(x) is,-π2<x<π2…

Q: What is the domain of the sine function?

A: The domain is a set of x-values where the graph of the function is defined. In other words, the…

Q: Sketch the graph of f (x) = 2 sin (x –÷), also find the amplitude and period %3D

A: Consider the function: fx=2sinx-π2 To sketch the graph of the given function:

Q: Use the definition of the hyperbolic sine to show that sinh x is an odd function.

A:

Q: Define the Trigonometric functions?

A: Trigonometric functions: A function of an angle that is expressed as the ratio of the two sides of a…

Q: What are the remaining 5 trigonometry functions sim theta =1?

A: Given query is to find the remaining trigonometric functions.

Q: Which inverse trigonometric function has a range of 0 < y < π?

A: To find which inverse trigonometric function has a range of 0<y<π, that is the interval 0,π…

Q: One of the two acute angles in a right triangle has tangent of Find the 12 sine of the other acute…

A: Given Data: The tangent of angle A is: tanA=512   The right-angle triangle ABC is shown in the…

Q: evaluate the trigonometric function.

A: We have to find the value of tanB.

Q: What is a periodic function? Why are the sine and cosine functions periodic?

A: Periodic function is a function which repeats its value after a regular interval. If fx+T=fx then…

Q: Construct the trigonometric function below by fixing the Amplitude and Period. y=4sinx in graph…

A: Construct the trigonometric function below by fixing the Amplitude and Period. y=4sinx in graph form…

Q: What is the period of the cosine function?

A: Given,          The period of the cosine function .

Q: Determine the equation of the sine function that would have a period of 120°and range 3<y<11, ye R}

A:

Q: What is the range of the cosine function?

A:

Q: Why would a sine function be used to model the number of daylight hours?

A: We have to explain why a sine function is used to model the number of daylight hours.

Q: State the definition of the hyperbolic cosine and hyperbolic sine functions.

A: We define hyperbolic cosine and sine function as,

Q: State the definitions of the hyperbolic cosine and hyperbolic sine functions.

A: Given sine and cosine function.

Q: What is the amplitude and period of the function shown below?

A: To find: Amplitude and period of a given sinusoidal function.

Q: Which function is the reciprocal of the sine function? O cosecant secant O cotangent

A:

Q: Show that cosine is an even function and sine is odd.

A: We have to prove that f(x)=cos(x)  is an even function and g(x)=sin(x) is even function .

Q: Choose the correct graph of the sin function from 0 to 2 ↑ if the amplitude is 1.5 and the period is…

A: We have to draw the correct graph of sin function.

Q: Which of the six trigonometric functions are undefined when x = 0? Which of the six trigonometric…

A: Consider…

Q: The input to a trigonometric function is formally called the _______ of the function.

A: Given- The input to a trigonometric function is formally called the _______ of the function. To…

Q: What is the value of sin-(0.72) ?

A:

Q: Define the term general sine function?

A: Given: Define the term general sine function?

Q: How are the sine and cosine functions related to the other fourtrigonometric functions?

A: The objective is to show how the sine and cosine functions are related to the other four…

Q: How do you find the period for a sine function by looking at its graph?

A: Given,  The graph of sine function.

Q: What does the amplitude of a sine or cosine function measure?

A: To describe what does the amplitude of a sine or cosine function measure.

Q: What is the amplitude of the graph of y = tan x? Explain. Which other trigonometric functions, if…

A: the solution is given below

Q: Describe the Arcsine and Arccosine Functions?

A: Our Aim is to describe the Arcsine and Arccosine functions:-

Q: A loop on a roller coaster has its highest point at 42 m and it's lowest point at 18 m. If the…

A: given maximum height (heighest)=42 m minimum height =18 m  amplitude of sine or cosine function =?

Q: What is the frequency of a tangent function period is 6 pie?

A: We have to find the frequency for given time period.

Q: How are the inverse trigonometric functions defined?

A: Given inverse trigonometric functions.

Q: What is the exact value of tan(sin(-#))?

A:

Q: When does the graph of a trigonometric function oscillate very rapidly?

A: We know that as x approaches to zero, the function sin(1/x) oscillates infinitely or very rapidly.

Q: Find the period of a sine or cosine function.

A: Given  The functions are  sin θ  and cos θ .

Q: When is the trigonometric ratio of sine used in a right triangle?

A:

Q: Given the graph of a sine function. What is its amplitude?

A: here we have to find the amplitude of a sine function graph.

Q: What is the amplitude of the sine function? What does this tell you about the graph?

A: If the function is given as y=sinx is called the sine function. For the value of x as, -π2≤x≤π2…