Calculus
6th Edition
ISBN: 9781465208880
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
expand_more
expand_more
format_list_bulleted
Question
Chapter 1.2, Problem 45PS
(a)
To determine
To sketch the graph of the curve for y=sin x.
(b)
To determine
To sketch the graph of the curve y=cos x
(c)
To determine
To sketch the graph of the curve y=tan x.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
please make sure to use the graph from the question
Consider an angle with an initial ray pointing in the 3-o'clock direction that measures 0 radians. The terminal point on a circle centered at the
angle's vertex is h radius lengths to the right of the circle's center and v radius lengths above the circle's center. The slope of the terminal ray of
the angle is m. Match each of the following inputs/outputs with their corresponding variable. (You can use each variable once, more than once,
or not at all.)
-1
The input of the cos
function
а. V
The output of the cos
- 1
function
b. h
The input of the sin
- 1
function
С. т
d. 0
| The output of the sin- function
1
v The input of the tan
function
v The output of the tan'
- 1
function
9. A windmill has a radius of 8m and rotates once every 20 seconds. The centre of the wheel is 20
metres off the ground (i.e. the vertical distance from the ground to the centre of the wheel is 20
metres).
a. Using COSINE, find an equation that represents the height of the tip of one of the blades ("h")
as a function of time "t" in seconds. Given that the tip is initially at its highest point. Show all
work to support your equation.
Chapter 1 Solutions
Calculus
Ch. 1.1 - Prob. 1PSCh. 1.1 - Prob. 2PSCh. 1.1 - Prob. 3PSCh. 1.1 - Prob. 4PSCh. 1.1 - Prob. 5PSCh. 1.1 - Prob. 6PSCh. 1.1 - Prob. 7PSCh. 1.1 - Prob. 8PSCh. 1.1 - Prob. 9PSCh. 1.1 - Prob. 10PS
Ch. 1.1 - Prob. 11PSCh. 1.1 - Prob. 12PSCh. 1.1 - Prob. 13PSCh. 1.1 - Prob. 14PSCh. 1.1 - Prob. 15PSCh. 1.1 - Prob. 16PSCh. 1.1 - Prob. 17PSCh. 1.1 - Prob. 18PSCh. 1.1 - Prob. 19PSCh. 1.1 - Prob. 20PSCh. 1.1 - Prob. 21PSCh. 1.1 - Prob. 22PSCh. 1.1 - Prob. 23PSCh. 1.1 - Prob. 24PSCh. 1.1 - Prob. 25PSCh. 1.1 - Prob. 26PSCh. 1.1 - Prob. 27PSCh. 1.1 - Prob. 28PSCh. 1.1 - Prob. 29PSCh. 1.1 - Prob. 30PSCh. 1.1 - Prob. 31PSCh. 1.1 - Prob. 32PSCh. 1.1 - Prob. 33PSCh. 1.1 - Prob. 34PSCh. 1.1 - Prob. 35PSCh. 1.1 - Prob. 36PSCh. 1.1 - Prob. 37PSCh. 1.1 - Prob. 38PSCh. 1.1 - Prob. 39PSCh. 1.1 - Prob. 40PSCh. 1.1 - Prob. 41PSCh. 1.1 - Prob. 42PSCh. 1.1 - Prob. 43PSCh. 1.1 - Prob. 44PSCh. 1.1 - Prob. 45PSCh. 1.1 - Prob. 46PSCh. 1.1 - Prob. 47PSCh. 1.1 - Prob. 48PSCh. 1.1 - Prob. 49PSCh. 1.1 - Prob. 50PSCh. 1.1 - Prob. 51PSCh. 1.1 - Prob. 52PSCh. 1.1 - Prob. 53PSCh. 1.1 - Prob. 54PSCh. 1.1 - Prob. 55PSCh. 1.1 - Prob. 56PSCh. 1.1 - Prob. 58PSCh. 1.1 - Prob. 59PSCh. 1.1 - Prob. 60PSCh. 1.2 - Prob. 1PSCh. 1.2 - Prob. 2PSCh. 1.2 - Prob. 3PSCh. 1.2 - Prob. 4PSCh. 1.2 - Prob. 5PSCh. 1.2 - Prob. 6PSCh. 1.2 - Prob. 7PSCh. 1.2 - Prob. 8PSCh. 1.2 - Prob. 9PSCh. 1.2 - Prob. 10PSCh. 1.2 - Prob. 11PSCh. 1.2 - Prob. 12PSCh. 1.2 - Prob. 13PSCh. 1.2 - Prob. 14PSCh. 1.2 - Prob. 15PSCh. 1.2 - Prob. 16PSCh. 1.2 - Prob. 17PSCh. 1.2 - Prob. 18PSCh. 1.2 - Prob. 19PSCh. 1.2 - Prob. 20PSCh. 1.2 - Prob. 21PSCh. 1.2 - Prob. 22PSCh. 1.2 - Prob. 23PSCh. 1.2 - Prob. 24PSCh. 1.2 - Prob. 25PSCh. 1.2 - Prob. 26PSCh. 1.2 - Prob. 27PSCh. 1.2 - Prob. 28PSCh. 1.2 - Prob. 29PSCh. 1.2 - Prob. 30PSCh. 1.2 - Prob. 31PSCh. 1.2 - Prob. 32PSCh. 1.2 - Prob. 33PSCh. 1.2 - Prob. 34PSCh. 1.2 - Prob. 35PSCh. 1.2 - Prob. 36PSCh. 1.2 - Prob. 37PSCh. 1.2 - Prob. 38PSCh. 1.2 - Prob. 39PSCh. 1.2 - Prob. 40PSCh. 1.2 - Prob. 41PSCh. 1.2 - Prob. 42PSCh. 1.2 - Prob. 43PSCh. 1.2 - Prob. 44PSCh. 1.2 - Prob. 45PSCh. 1.2 - Prob. 46PSCh. 1.2 - Prob. 47PSCh. 1.2 - Prob. 48PSCh. 1.2 - Prob. 49PSCh. 1.2 - Prob. 50PSCh. 1.2 - Prob. 51PSCh. 1.2 - Prob. 52PSCh. 1.2 - Prob. 53PSCh. 1.2 - Prob. 54PSCh. 1.2 - Prob. 55PSCh. 1.2 - Prob. 56PSCh. 1.2 - Prob. 57PSCh. 1.2 - Prob. 58PSCh. 1.2 - Prob. 59PSCh. 1.2 - Prob. 60PSCh. 1.3 - Prob. 1PSCh. 1.3 - Prob. 2PSCh. 1.3 - Prob. 3PSCh. 1.3 - Prob. 4PSCh. 1.3 - Prob. 5PSCh. 1.3 - Prob. 6PSCh. 1.3 - Prob. 7PSCh. 1.3 - Prob. 8PSCh. 1.3 - Prob. 9PSCh. 1.3 - Prob. 10PSCh. 1.3 - Prob. 11PSCh. 1.3 - Prob. 12PSCh. 1.3 - Prob. 13PSCh. 1.3 - Prob. 14PSCh. 1.3 - Prob. 15PSCh. 1.3 - Prob. 16PSCh. 1.3 - Prob. 17PSCh. 1.3 - Prob. 18PSCh. 1.3 - Prob. 19PSCh. 1.3 - Prob. 20PSCh. 1.3 - Prob. 21PSCh. 1.3 - Prob. 22PSCh. 1.3 - Prob. 23PSCh. 1.3 - Prob. 24PSCh. 1.3 - Prob. 25PSCh. 1.3 - Prob. 26PSCh. 1.3 - Prob. 27PSCh. 1.3 - Prob. 28PSCh. 1.3 - Prob. 29PSCh. 1.3 - Prob. 30PSCh. 1.3 - Prob. 31PSCh. 1.3 - Prob. 32PSCh. 1.3 - Prob. 33PSCh. 1.3 - Prob. 34PSCh. 1.3 - Prob. 35PSCh. 1.3 - Prob. 36PSCh. 1.3 - Prob. 37PSCh. 1.3 - Prob. 38PSCh. 1.3 - Prob. 39PSCh. 1.3 - Prob. 40PSCh. 1.3 - Prob. 41PSCh. 1.3 - Prob. 42PSCh. 1.3 - Prob. 43PSCh. 1.3 - Prob. 44PSCh. 1.3 - Prob. 45PSCh. 1.3 - Prob. 46PSCh. 1.3 - Prob. 47PSCh. 1.3 - Prob. 48PSCh. 1.3 - Prob. 49PSCh. 1.3 - Prob. 50PSCh. 1.3 - Prob. 51PSCh. 1.3 - Prob. 52PSCh. 1.3 - Prob. 53PSCh. 1.3 - Prob. 54PSCh. 1.3 - Prob. 55PSCh. 1.3 - Prob. 56PSCh. 1.3 - Prob. 57PSCh. 1.3 - Prob. 58PSCh. 1.3 - Prob. 59PSCh. 1.3 - Prob. 60PSCh. 1.4 - Prob. 1PSCh. 1.4 - Prob. 2PSCh. 1.4 - Prob. 3PSCh. 1.4 - Prob. 4PSCh. 1.4 - Prob. 5PSCh. 1.4 - Prob. 6PSCh. 1.4 - Prob. 7PSCh. 1.4 - Prob. 8PSCh. 1.4 - Prob. 9PSCh. 1.4 - Prob. 10PSCh. 1.4 - Prob. 11PSCh. 1.4 - Prob. 12PSCh. 1.4 - Prob. 13PSCh. 1.4 - Prob. 14PSCh. 1.4 - Prob. 15PSCh. 1.4 - Prob. 16PSCh. 1.4 - Prob. 17PSCh. 1.4 - Prob. 18PSCh. 1.4 - Prob. 19PSCh. 1.4 - Prob. 20PSCh. 1.4 - Prob. 21PSCh. 1.4 - Prob. 22PSCh. 1.4 - Prob. 23PSCh. 1.4 - Prob. 24PSCh. 1.4 - Prob. 25PSCh. 1.4 - Prob. 26PSCh. 1.4 - Prob. 27PSCh. 1.4 - Prob. 28PSCh. 1.4 - Prob. 29PSCh. 1.4 - Prob. 30PSCh. 1.4 - Prob. 31PSCh. 1.4 - Prob. 32PSCh. 1.4 - Prob. 33PSCh. 1.4 - Prob. 34PSCh. 1.4 - Prob. 35PSCh. 1.4 - Prob. 36PSCh. 1.4 - Prob. 37PSCh. 1.4 - Prob. 38PSCh. 1.4 - Prob. 39PSCh. 1.4 - Prob. 40PSCh. 1.4 - Prob. 41PSCh. 1.4 - Prob. 42PSCh. 1.4 - Prob. 43PSCh. 1.4 - Prob. 44PSCh. 1.4 - Prob. 45PSCh. 1.4 - Prob. 46PSCh. 1.4 - Prob. 47PSCh. 1.4 - Prob. 48PSCh. 1.4 - Prob. 49PSCh. 1.4 - Prob. 50PSCh. 1.4 - Prob. 51PSCh. 1.4 - Prob. 52PSCh. 1.4 - Prob. 53PSCh. 1.4 - Prob. 54PSCh. 1.4 - Prob. 55PSCh. 1.4 - Prob. 56PSCh. 1.4 - Prob. 57PSCh. 1.4 - Prob. 58PSCh. 1.4 - Prob. 59PSCh. 1.4 - Prob. 60PSCh. 1.5 - Prob. 1PSCh. 1.5 - Prob. 2PSCh. 1.5 - Prob. 3PSCh. 1.5 - Prob. 4PSCh. 1.5 - Prob. 5PSCh. 1.5 - Prob. 6PSCh. 1.5 - Prob. 7PSCh. 1.5 - Prob. 8PSCh. 1.5 - Prob. 9PSCh. 1.5 - Prob. 10PSCh. 1.5 - Prob. 11PSCh. 1.5 - Prob. 12PSCh. 1.5 - Prob. 13PSCh. 1.5 - Prob. 14PSCh. 1.5 - Prob. 15PSCh. 1.5 - Prob. 16PSCh. 1.5 - Prob. 17PSCh. 1.5 - Prob. 18PSCh. 1.5 - Prob. 19PSCh. 1.5 - Prob. 20PSCh. 1.5 - Prob. 21PSCh. 1.5 - Prob. 22PSCh. 1.5 - Prob. 23PSCh. 1.5 - Prob. 24PSCh. 1.5 - Prob. 25PSCh. 1.5 - Prob. 26PSCh. 1.5 - Prob. 27PSCh. 1.5 - Prob. 28PSCh. 1.5 - Prob. 29PSCh. 1.5 - Prob. 30PSCh. 1.5 - Prob. 31PSCh. 1.5 - Prob. 32PSCh. 1.5 - Prob. 33PSCh. 1.5 - Prob. 34PSCh. 1.5 - Prob. 35PSCh. 1.5 - Prob. 36PSCh. 1.5 - Prob. 37PSCh. 1.5 - Prob. 38PSCh. 1.5 - Prob. 39PSCh. 1.5 - Prob. 40PSCh. 1.5 - Prob. 41PSCh. 1.5 - Prob. 42PSCh. 1.5 - Prob. 43PSCh. 1.5 - Prob. 44PSCh. 1.5 - Prob. 45PSCh. 1.5 - Prob. 46PSCh. 1.5 - Prob. 47PSCh. 1.5 - Prob. 48PSCh. 1.5 - Prob. 49PSCh. 1.5 - Prob. 50PSCh. 1.5 - Prob. 51PSCh. 1.5 - Prob. 52PSCh. 1.5 - Prob. 53PSCh. 1.5 - Prob. 54PSCh. 1.5 - Prob. 55PSCh. 1.5 - Prob. 56PSCh. 1.5 - Prob. 57PSCh. 1.5 - Prob. 58PSCh. 1.5 - Prob. 59PSCh. 1.5 - Prob. 60PSCh. 1 - Prob. 1PECh. 1 - Prob. 2PECh. 1 - Prob. 3PECh. 1 - Prob. 4PECh. 1 - Prob. 5PECh. 1 - Prob. 6PECh. 1 - Prob. 7PECh. 1 - Prob. 8PECh. 1 - Prob. 9PECh. 1 - Prob. 10PECh. 1 - Prob. 11PECh. 1 - Prob. 12PECh. 1 - Prob. 13PECh. 1 - Prob. 14PECh. 1 - Prob. 15PECh. 1 - Prob. 16PECh. 1 - Prob. 17PECh. 1 - Prob. 18PECh. 1 - Prob. 19PECh. 1 - Prob. 20PECh. 1 - Prob. 21PECh. 1 - Prob. 22PECh. 1 - Prob. 23PECh. 1 - Prob. 24PECh. 1 - Prob. 25PECh. 1 - Prob. 26PECh. 1 - Prob. 27PECh. 1 - Prob. 28PECh. 1 - Prob. 29PECh. 1 - Prob. 30PECh. 1 - Prob. 1SPCh. 1 - Prob. 2SPCh. 1 - Prob. 3SPCh. 1 - Prob. 4SPCh. 1 - Prob. 5SPCh. 1 - Prob. 6SPCh. 1 - Prob. 7SPCh. 1 - Prob. 8SPCh. 1 - Prob. 9SPCh. 1 - Prob. 10SPCh. 1 - Prob. 11SPCh. 1 - Prob. 12SPCh. 1 - Prob. 13SPCh. 1 - Prob. 14SPCh. 1 - Prob. 15SPCh. 1 - Prob. 16SPCh. 1 - Prob. 17SPCh. 1 - Prob. 18SPCh. 1 - Prob. 19SPCh. 1 - Prob. 20SPCh. 1 - Prob. 21SPCh. 1 - Prob. 22SPCh. 1 - Prob. 23SPCh. 1 - Prob. 24SPCh. 1 - Prob. 25SPCh. 1 - Prob. 26SPCh. 1 - Prob. 27SPCh. 1 - Prob. 28SPCh. 1 - Prob. 29SPCh. 1 - Prob. 30SPCh. 1 - Prob. 31SPCh. 1 - Prob. 32SPCh. 1 - Prob. 33SPCh. 1 - Prob. 34SPCh. 1 - Prob. 35SPCh. 1 - Prob. 36SPCh. 1 - Prob. 37SPCh. 1 - Prob. 38SPCh. 1 - Prob. 39SPCh. 1 - Prob. 40SPCh. 1 - Prob. 41SPCh. 1 - Prob. 42SPCh. 1 - Prob. 43SPCh. 1 - Prob. 44SPCh. 1 - Prob. 45SPCh. 1 - Prob. 46SPCh. 1 - Prob. 47SPCh. 1 - Prob. 48SPCh. 1 - Prob. 49SPCh. 1 - Prob. 50SPCh. 1 - Prob. 51SPCh. 1 - Prob. 52SPCh. 1 - Prob. 53SPCh. 1 - Prob. 54SPCh. 1 - Prob. 55SPCh. 1 - Prob. 56SPCh. 1 - Prob. 57SPCh. 1 - Prob. 58SPCh. 1 - Prob. 59SPCh. 1 - Prob. 60SPCh. 1 - Prob. 61SPCh. 1 - Prob. 62SPCh. 1 - Prob. 63SPCh. 1 - Prob. 64SPCh. 1 - Prob. 65SPCh. 1 - Prob. 66SPCh. 1 - Prob. 67SPCh. 1 - Prob. 68SPCh. 1 - Prob. 69SPCh. 1 - Prob. 70SPCh. 1 - Prob. 71SPCh. 1 - Prob. 72SPCh. 1 - Prob. 73SPCh. 1 - Prob. 74SPCh. 1 - Prob. 75SPCh. 1 - Prob. 76SPCh. 1 - Prob. 77SPCh. 1 - Prob. 78SPCh. 1 - Prob. 79SPCh. 1 - Prob. 80SPCh. 1 - Prob. 81SPCh. 1 - Prob. 82SPCh. 1 - Prob. 83SPCh. 1 - Prob. 84SPCh. 1 - Prob. 85SPCh. 1 - Prob. 86SPCh. 1 - Prob. 93SPCh. 1 - Prob. 95SPCh. 1 - Prob. 96SPCh. 1 - Prob. 97SPCh. 1 - Prob. 98SPCh. 1 - Prob. 99SP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.Similar questions
- 19. A Ferris wheel has a radius of 20 m. Passengers get on halfway up on the right side. The direction of rotation is counter clockwise. The bottom of the Ferris wheel is 2 m off the ground. It rotates every 36 seconds. a) Graph your height h above the ground as a function of time t.arrow_forward2.arrow_forwardIn whoville, the amount of rainfall varies greatly each week and follows a sinusoidal pattern. The following data is the recorded millimeters (mm) of precipitation across 14 weeks. Determine a sine and a cosine function that approximates the amount of rainfall over time in weeks. Decimals are allowed. Week 1, rainfall(mm) - 1.4 Week 2, rainfall(mm) - 3.1 Week 3, rainfall(mm) - 4.3 Week 4, rainfall(mm) - 2.9 Week 5, rainfall(mm) - 1.2 Week 6, rainfall(mm) - 0.1 Week 7, rainfall(mm) - 1.3 Week 8, rainfall(mm) - 2.7 Week 9, rainfall(mm) - 4.3 Week 10, rainfall(mm) - 3.2 Week 11, rainfall(mm) - 1.1 Week 12, rainfall(mm) - 0.2 Week 13, rainfall(mm) - 1.2 Week 14, rainfall(mm) - 2.8arrow_forward
- 4. Please answer correctly. give the complete solution if necessary.arrow_forward18. A Ferris wheel has a radius of 7m. The centre of the wheel is 8m above the ground. The ferris wheel rotates at a constant speed of 15%/s. There is only one red seat on the ferris where. a. Graph one rotation below b. Determine an equation of a sine function which describes the height of the red seat where h is the height in metres and t is the time in secondsarrow_forward15. Determine the period of the following graph. y 8 6 4 2-1 0 -2 -4 X → 120 240 360 480 600°/20° A. 120° B 240° C. 300° D. 360° period 360° barrow_forward
- 3. Graph one cycle the following sinusoidal function. State the period, amplitude, equation of axis and range for the graph. Write the equation of the axis and graph the axis on the grid. Show your work before you graph the function. y = 3 cos (x – 90°)|+ 1 Period = Amplitude = Equation of Axis, y = Range =arrow_forward1. Which equation represents an odd function? (Plug in your calculator and draw a sketch of each one) a. y = sinx b. y = cosx c. y = (x+ 1) d. y = e5xarrow_forwardGraph, give the period, and find the amplitude.arrow_forward
- 7. The city of Thunder Bay, Ontario, has average monthly temperatures that vary between - 14.8 °C and 17.6°C. The following table gives the average monthly temperatures, averaged over many years. Determine the equation of the sine function that describes the data, and use your equation to determine the times that the temperature is below 0°C. May July Aug. Month Average Temperature (°C) Jan. Feb. Mar. Apr. -14.8 -12.7 -5.9 2.5 8.7 June Sep. Oct. Nov. Dec. 13.9 17.6 16.5 11.2 5.6 -2.7-11.1arrow_forward5. Find an equation for the trigonometric function whose graph is given below.arrow_forwarduse the following information to create an equation for a circle in standard form PLEASE DO THIS WITHOUT A CALCULATOR. answer must match one of the answer choices. there is only one right answer. if your answer is none of these please check your math that answer choice is wrong.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageTrigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Sine, Cosine and Tangent graphs explained + how to sketch | Math Hacks; Author: Math Hacks;https://www.youtube.com/watch?v=z9mqGopdUQk;License: Standard YouTube License, CC-BY