5.1.2.3 Terminal Points
5.1.2.3 Terminal Points

Algebra and Trigonometry (MindTap Course List)

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

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

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

Check Mark

Trending nowThis is a popular solution!

Step by stepSolved in 2 steps

Blurred answer

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

You are watching: Answered: 55-58 – Terminal Points The unit circle…. Info created by Bút Chì Xanh selection and synthesis along with other related topics.