Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN: 9781305071742
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Question
Transcribed Image Text:55-58 – Terminal Points The unit circle is graphed in the fig- ure below. Use the figure to find the terminal point determined by the real number 1, with coordinates rounded to one decimal place. 55. 1= 1 y4 56. 1 = 2.5 57. 1 = -1.1 58. 1 = 4.2 0.5 0.5
Expert Solution
Trending nowThis is a popular solution!
Step by stepSolved in 2 steps
Knowledge Booster
Similar questions
Parallax To find the distance to nearby stars, the method of parallax is used. The idea is to find a triangle with the star at one vertex and with a base as large as possible. To do this, the star is observed at two different times exactly 6 months apart, and its apparent change in position is recorded. From these two observations E1SE2 can be calculated. The times are chosen so that E1SE2 is as large as possible, which guarantees that E1OS is 90. The angle E1SO is called the parallax of the star. Alpha Centauri, the star nearest the earth, has a parallax of 0.000211. Estimate the distance to this star. Take the distance from the earth to the sun to be 9.3107 mi
arrow_forward
Vibrating String When a violin string vibrates, the sound produced results from a combination of standing waves that have evenly placed nodes. The figure (1) illustrates some of the possible standing waves. Lets assume that the string has length . a.For fixed t, the string has the shape of a sine curve y=Asinx. Find the appropriate value of for each of the illustrated standing waves. b.Do you notice a pattern in the values of that you found in part a? What would the next two values of be? Sketch rough graphs of the standing waves associated with these new values of . c.Suppose that for fixed t, each point on the string that is not a node vibrates with frequency 440Hz. Find the value of for which an equation of the form y=Acost would model this motion. d.Combine your answers for parts a and c to find functions of the form y(x,t)=Asinxcost that model each of the standing waves in the figure. Assume that A=1. Figure (1)
arrow_forward
Distances to Venus The elongation of a planet is the angle formed by the planet, earth, and sun see the figure. It is known that the distance from the sun to Venus is 0.723 AU see Exercise 71 in Section 5.2. At a certain time the elongation of Venus is found to be 39.4. Find the possible distances from the earth to Venus at that time in astronomical units AU.
arrow_forward
The designers of a water park have sketched a preliminary drawing of a new slide (see figure). (a) Find the height h of the slide. (b) Find the angle of depression from the top of the slide to the end of the slide at the ground in terms of the horizontal distance d a rider travels. (c) Safety restrictions require the angle of depression to be no less than 25 and no more than 30. Find an interval for how far a rider travels horizontally.
arrow_forward
APPLICATIONS Beehives In a beehive each cell is a regular hexagonal prism, as shown in the figure. The amount of wax W in the cell depends on the apex angle and is given by w=3.020.38cot+0.65csc Bees instinctively choose so as to use the least amount of wax possible. a Use a graphing device to graph W as a function of for 0. b For what value of does W have its minimum value? Note: Biologists have discovered that bees rarely deviate from this value by more than a degree or two.
arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Trigonometry (MindTap Course List)
Trigonometry
ISBN:9781337278461
Author:Ron Larson
Publisher:Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:9781133382119
Author:Swokowski
Publisher:Cengage
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL