Determine a possible equation of the foll owing sine graph. O A. y=3sin(x) O B. y=sin(x+3) O C. y=sin(3x) O D. y=sin(x)+3

Q: The figure below shows y = 2 sin (5x) and y = 2 sin (10x). e 1Y f(x) g(x) Which graph is y = 2 sin…

A: Given ,  The figure of y = 2 sin(5x)  and y = 2 sin(10x) Here ,  The graph of y = 2 sin(5x) is blue…

Q: 13. The range of the arcsin or sin(x) is: a) (0, 2.7) b)(0, 7 ) ) 0. d) 4 '4 e) 2'2 4

A: 13) Given

Q: Determine an equation of the form y=a cos bx or y= a sin bx, where b>0 for the given graph

A: Here, the graph is of cosine, the amplitude is 3, and period = pi/2. So, the equation become y=3…

Q: Question 4 Find the solution of the D.E. below: x cos? ydx+ tan ydy = 0 A y2+ (tanx) 2=c B x2+…

A: We will use separation of variables technique to solve the problem.

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: Given: x=2sint  y=3cost 0≤t≤2π Consider x=2sint. sint=x2cost=y3

Q: (b) Sketch the graph of the following functions: a, cos a, cos r, tan r, tan- x, 2+Vx + 2, vx² – 4,…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 10) Write down the function represented by this graph in the form y = a sin bx + c.

A: Given:

Q: 6. Setting æ = cos 0 show that T.(e) = [(- + ivI- =')" + (* - ivī- =')"] n where i = V=1.

A: This immediately follows as a consequence of De Moivres formula which states that e^(it)=cos t + i…

Q: Find an exact equation of the sine wave that corresponds to the graph below 1 1.5 -1 -이15 0.5 1 1.5…

A: The general form of a sine wave is y=a sin(b(x-c))+d. Here, mid-line is x-axis, so, we have d=0.…

Q: Find the value(s) of x in [0, 2n] for the given equation: cos?(x) - cos(x) - 2 = 0..

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 22. Represent the graph of the following functions using a sine and cosine function. 323 124 10 8 m…

A: The general form of the function is f(x) = Asinkx+M or f(x) = Acoskx-π2+M Where M is the midline, A…

Q: in*e-cos*e sec e-tan'e sinsin e s а. b. sinsin Ocoscos 0 cose+cotcot esinsin e c. sinsin e

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: A. Use the equation y =sin 3x - 1, whose graph is shown below, to identify the following: -n/2 m/2…

A: Topic  =Functions

Q: 5. Compare and contrast the graphs of sine and cosine using terms like amplitude, period, minimum,…

A:

Q: A cosine function is graphed below, and given in standard form y = A cos(B (x –- C)) +D: Enter the…

A: The graph of the function is

Q: 3. A cosine function that has the same graph as y = 2 sin x. 4. A sine function that matches the…

A: We have to find the graph that is same as given function.

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b> 0. Determine the equation…

A:

Q: 2 cos 0 d 1 - sin A

A: We can find the integration as below.

Q: a Sketch the graph of y = sine for 0° s 0 s 360°. %3D b Use your graph to solve the equation sin =…

A: The graph of y=sinθ for 0°≤θ≤360° is as follows

Q: Find a function of the form y = A sin(ka) + C or y = A cos(ka) + C whose graph matches the function…

A: Consider the function is: y = A sin(kx) + C From the graph,  the maximum value of the function is: 7…

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b>0. Determine the equation…

A: Maximum value=5 and minimum value=-5  So, amplitude= (5-(-5))/2=5 This graph seems y=cos(x)…

Q: What is the period of the sine wave shown in the graph? 3 6. О А. 8 В. 6 С. 3 D. 1

A: From given graph it is clear that

Q: 3. What is the period of the graph of y = -3 cos x ? A. 3 B. 2n C. T D. TT/3

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: ) Let Sin x = -12 13 X in quadrant II , and siny=21 Y in quadrant I. Find al Sin (x +y) b) Cos (x-Y)…

A:

Q: 7. A sound wave is modeled by the curve y = 3 sin 4x. What is the period of this curve? 4. 3.

A: y=3sin4x

Q: 9) On the grid below, graph y = sin(x), y = cos(x), and y = tan(x). 2

A:

Q: Find the amplitude, the period, and the phase shift and sketch the graph of the equation. a.) y =…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: intoyral (1+35)e² Sin} dz , Evaluate the two awhere Ĉi131= h, by any methods and compare the esulk.

A:

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine equation of…

A: According to the given graph.Amplitude=4 Half-period=2πperiod=2×2π=4πy(0)=-4

Q: a Determining L{e-' sin 3t} leads to find: a, b, c. s2 +bs+c a=

A: We use Laplace transform formulas

Q: The graphs of the functions y = sinx and y= cosx have the same domain.   Question 19 options:…

A: True   The graph y= sin x and y=cos x have same domain R (the set of all real numbers)

Q: The signal x(t) shows the following properties and its period is 3. So what is x(t)?

A: Given: ak=ak+2.ak= a-k∫-0.50.5x(t) dt = 1.∫12x(t) dt = 2. The period T = 3.

Q: Find an equation in x and y whose graph contains the points on the curve C. Sketch the graph of C,…

A: The given parametric equation is x=4cost+1,  y=3sint;         0≤t≤2π. This implies that, x=4cost+1,…

Q: A graphing calculator is recommended. A digital delay device echoes an input signal by repeating it…

A: Given: The device receives the pure note: f1(t)=6sin(t)  The device echos the pure note:…

Q: 2T Find the exact value of cos 3

A: given :

Q: In a certain city, the number of hours of sunlight on the summer solstice is 15.544 and the number…

A: In the question, we need to find sinusoidal function.

Q: The graphs of ƒ (x) and g(x) = f (x + k) are below. What is the value of k' 2 4 5 6 789 -2 -1 sin…

A:

Q: Determine a possible equation for the following sinusoidal function. 0.5 0 -0.5 -1.5 0 TT/2 3TT/2

A: We need to find sin equation.

Q: The function graphed is of the form y = a sin bx or y = a cos bx, where b> 0. Determine the equation…

A: The given graph is,  To find its equation.

Q: Find a function of the form y = A sin(ka)+ C or y = A cos(kr) + C whose graph matches this one: %3D…

A: It is known that, the value of the function is non-zero at the origin point. We know that the graph…

Q: Given the graphs of y = sinx and y =e* - 3 in the Figure Q1(e). Find the root of sinx=e* - 3. y 15 +…

A:

Q: 2. Find the exact value of cos 30°. Enter your next step here () d号

A:

Q: 8. and A e [0, 180°]. Find sin2A 17 1. Given that cos A =-

A: Topic:- trigonometry  Note:- as per our guideline if more than one question uploaded than only first…

Q: Write an equation of the form y=a sinbx or y=a cosbx to describe the graph below. y NA I 4 8 8 4 8…

A: The general equation of a sine function is y=a sinb(x-h)+k a is amplitude (half the distance between…

Q: Write an equation of the form y = a sin bx or y= a cos bx to describe the graph below. Ty 0 1 nin 1…

A:

Q: A standard sinuosoidal function, such as sinx and cosx, has a period of 2*pi and at any given…

A:

Q: A ball on a spring is pulled 6 inches below its rest position and then released. After t seconds,…

A: we have been given that a ball on a spring is pulled 6 inches below  its rest position and then…

Q: Find a function of the form y = A sin(ka) or y = A cos(ka) whose graph matches the function shown…

A: Given graph of function passes through the point  ( 0 , 0)

Q: 12. Determine the equation of a sine function that would have a range of (y e R|6 <y39} and a period…

A: Period of the sinosuidal function y = sin(ax) is given as:           Minimum possible value of y…

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.