The graphs of sine and cosine have special characteristics which make then useful for modeling real life situations.  What are these special features? Give some examples of real life situations that could be modeled by trig functions and expalin why.

Q: Please help me understand how can we apply trigonometric functions in everyday life.

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Q: What is the domain of the cosine function?

A: We know that domain of cosine function is all real numbers as cosine function is defined for any…

Q: is there any relationship between the graphs of functions which are reciprocal to each other like…

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Q: Find a sinusoidal function that matches the given graph. If needed, you can enter π =3.1416... as…

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Q: . What happens to the graph of a trigonometric function if it has a positive phase shift?

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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: Why are trigonometric functions ideally suited to model phenomena that repeat in cycles?

A: Trigonometric functions sin, cos, tan, cosec, sec, and cot are periodic functions. That is after…

Q: True or False Exact values can be found for the sine of anyangle.

A: Exact values can be found for the sine of any angle.

Q: Explain a real-world application of sinusoidal functions and how having knowledge of trigonometry…

A: Sinusoidal function is a function which oscillates between a mean and a extreme value.

Q: Why sometimes the graph of a trigonometric function oscillates very rapidly?

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Q: The largest possible value for the sine function and the cosine function is______ and the smallest…

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Q: How can you use the algebraic equation of a sine or cosine to find its amplitude and period- what is…

A: Given : Agebraic equation of a sine or cosine to find its amplitude and period

Q: Graph the three functions on a common screen. How are the graphs related? y = sin 277x, y = -sin…

A: Consider the graph of the functions individually. The curve is plotted as :

Q: inverse sine function

A: We have asked that is it true or false that inverse sine function extends indefinitely in both…

Q: Without drawing a graph, describe the behavior of the basic sine curve?

A: we have to determine the basic behavior of the sine curve.

Q: Explain how to restrict the domain of the sine function so that it becomes a one-to-one function.

A: Here, the given function is, fx=sinx A function is one to one in a domain when, the function doesn't…

Q: If a function has a two successive maxima at 4 and (7,4) and a range of [-2,4], determine the…

A: answer is in next step. please give a like !!

Q: What does it mean when we say that the sine and cosine functions are periodic with period 2π?

A: Given: sine and cosine function

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 5 Period: π…

A: Here given data about basic sine equation we will find out value of w and phi.

Q: In one area of the Bay of Fundy, the water has a depth of 8m at high tide, and a depth of 2m at low…

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Q: One period of a sine or cosine function is one ________ of the sine or cosine curve.

A: To fill in the blank in the given statement, " One period of a sine or cosine function is one…

Q: at the point functron fts

A: The given function is fx=x4-7x2+11 at the point 2,-1. The tangent line of the given function is…

Q: If cotx 12 find the other trigonometric functions

A: topic - trigonometric ratios

Q: how do you graph sine, cosine, secant, cosecant, tangent, cotangent functions?

A: Question - 1 how do you graph sine, cosine, secant, cosecant, tangent, cotangent functions ?

Q: If the dark blue line represents the graph of y= cos x, write the equations of the other graphs as…

A: From the graphs we can conclude that:-

Q: sine curve with a period of 4T, an amplitude of 5, a left phase shift and a vertical translation own…

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Q: Write the equation of a sine or cosine function to describe the graph. 5- 3. 15 -- 4 2 talt 4.

A: In the given problem we have to define sine or cosine function.

Q: Find the exact value,if any,of each composite function.If there is no value,say it is “not…

A: sin x is an odd function and the inverse of an odd function is also an odd function. So use the…

Q: Sketch sine and cosine functions on a graph paper

A: Given We have to make the graph of sine and cosine function f(x) = sinx When x = 0 ;   f(0) = sin0 =…

Q: If a sinusoidal function goes through 7 cycles in 1015°, then the period is: (record just the value;…

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Q: Determine the amplitude and period of y = - 2 sin (5x)without graphing.

A: A sinusoidal function is a function of the form A sin(Bx+C)+D. So a sinusoidal function is any…

Q: Graph cach function using radians. 2. 1 - sin 29 - 1 2 0 0 0 یا

A: Please see the below picture for detailed solution.

Q: Day 3: Nothing changes with Tangent Sine Cosine Tangent 32 Solve for x 14

A: Given triangle is right angle triangle so we can use here trigonometry formula. In which base and…

Q: Find an algebraic expression that is equivalent to the expression. Show all work on a separate sheet…

A: By using Pythagoras theorem, we find the algebraic expression of given trigonometric function.

Q: A sine function has a period of P units and has a phase shift of 2 units (to the right 2 units) when…

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Q: 11. Point B has coordinates (3. – 4) and lies on the circle whose equation is x +y² = 25. If an…

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Q: Graph cach function using radians.

A: The given equation is:  y=12cosθ3+1

Q: Write the equation of a sine function that has a maximum at (70°, 3) and a minimum at (160°, -5)

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Q: Write the equation of a negative sine equation for the graph attached.

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Q: Explain how to use a sine curve to obtain a cosecant curve. Why can the same procedure be used to…

A: It is known that sine curve and the corresponding cosecant curve have same phase and same period. So…

Q: The point (2, 3) is on the teminal side of angle 6, in standard position. What are the values of…

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Q: If arcsin x=0, then the value of x is?

A: Given: sin-1x=0 we know that  sin-1x is zero at x=0

Q: In one area of the Bay of Fundy, the water has a depth of 6m at high tide, and a depth of 2m at low…

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Q: Write the equation of a sine or cosine function to describe the graph. 2- -2 tre

A: Consider the given graph. We can find a sine equation to describe the given graph. The general…

Q: Write down the characteristics of cosine function and draw its graph.

A: There are six trigonometric functions in which cosine is one of the trigonometric function. Cosine…

Q: The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the…

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Q: List 5 similarities and 1 difference between the graphs of y = sinx and y = COSK. Similarities…

A: Difference between y=sinx and y=cosx

Q: The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of…

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Q: units, a maximum at (0,4), and a peroid of 180 degrees. Represent the function using both the sine…

A: Follow step 2 .