The height of a nail in a bicycle tire as it rotates around is periodic in nature. The radius of the tire is 30cm and at the current pedalling speed the tire rotates once every second. a. Determine the equation of a sinusoidal function that models this situation assuming that the nail starts on the ground at time zero. b. At what time(s) during the first two seconds is the nail at a height of 30cm?

Q: The point P in the figure below has y-coordinate Find the following. (a) sin t 21 29 (b) (c) cos t…

A:

Q: Using the graphs provided, determine the equation for the polynomial function being represented.…

A:

Q: Sketch a graph of the function f(x) = 3 sin -9 -8 -7 -6 -5 Clear All D -3 -2 -1 L 3 N 723 -2 -4 (72)…

A:

Q: Use the information given about the angle 0, 0≤0≤2л, to find the exact value of cos cos () = 3 5'…

A:

Q: Find all the complex roots. Leave your answers in polar form with the argument in degrees. The…

A:

Q: a) What makes this graph periodic? b) What is the period? c) What is the amplitude? d) Domain and…

A: Follow the procedure given below.

Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A:

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

A: Given graph:-

Q: Find the area of the shaded region in the figure. (Round your answer to two decimal plac 37.70 X…

A:

Q: Solve the given equation. (Enter your answers as a comma-separated list. solution, enter NO…

A:

Q: Find the area of the region in the first quadrant bounded by the hyperbola x2-y2-4 and one of its…

A:

Q: A field is in the shape of a triangle. Label the triangle ABC. A surveyor determines that the length…

A:

Q: Please answer and write correctly and neatly. Let u = (-1, 3), v = (2, 4), and w = (2, -5). Find…

A:

Q: Determine the length of x to one decimal place. a) 4.8 b) 5.7 c) 2.0 d) 1.2 12° 7.5 128⁰ x

A: Given

Q: Graph the feasible region for the system of inequalities. x-3y ≥6 3x+y≤6 Use the graphing tool on…

A: The given system of inequalities, x-3y≥63x+y≤6 Note: Multiple questions are given, we are answer…

Q: Find the standard form of the equation of the ellipse with: Foci: (-4,0),(4,0) and Vertices: (-5,0),…

A: Given,

Q: **Solve each trigonometric equation over the interval [0°, 360°). Show all work and write your…

A:

Q: For the right triangle below, find the measure of the angle. Figure is not to scale. Round to at…

A:

Q: You are standing at the top of a lighthouse, looking down towards a boat on the water. From your…

A:

Q: The measure of the complement of a given angle is four times the measure of the angle. Find the…

A: The measure of the complement of a given angle is four times the measure of the angle. To find the…

Q: A car travels along a straight line at a constant speed of E60.0mi/h for a distance d and then…

A:

Q: I. Find the solution 4. cos¯¹(2x) + sin set of the following. √1 - 4x² = π

A: Given problem:- Solve cos-12x+sin-11-4x2=π

Q: Given f(x)=x-1 and g(x)=x²-3x, find gog(2).

A:

Q: A wind-swept tree grows at an angle of 85°. An environmental scientist wants to know the height of…

A: We want to find the height of the tree.

Q: Prove the following identity: 1+ cos(2y) sin(2y) 1+ cos(2y) sin(2y) 1 tan(y)

A:

Q: Determine the length of x to one decimal place. 47° 9.2 a) 7.9 b) 6.7 X

A: Please refer to the image below

Q: Three guy wires are being used to support a radio tower. One end of each wire is attached to the top…

A:

Q: F(b) = 6-6² 1+6² 2 b = tan x

A: Given problem:- Fb=b-b21+b2 Find F(b) at b=tanx

Q: Which is a solution for the equation: 2(1 - cos²x) = 3 O 130° 240° 330⁰ O 30°

A: Solution ) 2 ( 1 - cos2 x ) = 3/2  [ sin2x + cos2x = 1  sin2x = 1 - cos2x ]  2 ( sin2x ) = 3/2…

Q: The angle of elevation to the top of a Building in New York is found to be 7 degrees from the ground…

A: Angle of elevation to the top of a building be 7 degree from the ground at a distance of 1 mile from…

Q: In ANOP, p = 84 inches, o = 13 inches and ZO=40°. Find all possible values of ZP, to the nearest…

A:

Q: How to find the angle of the triangle

A: How to find the angle of the triangle.

Q: If sec(z) = Give exact answers. (in Quadrant 2), find

A:

Q: Jim and Brenda are preparing for a trigonometry test. When they see this practice question, Jim…

A:

Q: 2 Verify the identity 4cos x (20 points) 2 2 2 4sin x cos²x + 4sin²x − 4sin³x = 4cos²x.

A:

Q: 1. Find the measure of the indicated side and angle in the triangles below. [4K] 0-360 3.7 m A 690⁰…

A:

Q: 7. Solve the right triangle. 0 3 2

A:

Q: Two forces of magnitude 20 newtons (N) and 50 N act on an object at angles of 30° and -45° with the…

A: We have to find F1 +F2

Q: Change the rectangular coordinates (2√3,-2) to polar coordinates with r20 and 0 ≤ 0 ≤ 2TT

A:

Q: The figure above could be a graph of:   a. -cos(x)   b. -sin(x)   c. cos(x)   d. sin(x)

A:

Q: Find the vertex, focus, and directrix of the following parabola. Graph the equation. Verify your…

A: Do some transformations and the go ahead.

Q: Jul 26, 11:01:45 PM A parabola can be drawn given a focus of (-4, 1) and a directrix of y = 9. Write…

A: Parabola

Q: What type of reflection symmetry does the graph of f(x) = cos a display? a) reflection in the x-axis…

A: Part_a_ The Domain of three basic trigonometric functions?   Basic trigonometric functions are…

Q: 18-17-16-1 13-12-11 -10 -9-8-7-6 -5 -4 -3 -2 -1 + -2 -3 1 23456 78 9 10 3) and The curve above is…

A:

Q: Graph the curve whose parametric equations are given and show its orientation. Find the rectangular…

A:

Q: 5 t(x) = (in Quadrant 3 24 exact answers. €) 2 (²-) = (²) N

A: Topic:- function and trigonometry ratios

Q: To find the distance across a river, a surveyor chose points A and B, which are 249 feet apart on…

A: Given,

Q: Find the exact value of the expression, if it is defined. (If an answer is undefined, enter…

A:

Q: Find the perimeter of the trapezoid shown below 16.9 8.2 16.4 20.5 18.3

A:

Q: b 20. for f(x)=x³+4x²-3x-6 U find all possible rational zeros, and then test until you find one that…

A: This question can be solved using the concept of factor theorem.