Question

For which angles (given in radians and degrees) is the percent difference between x and sin(x)...

For which angles (given in radians and degrees) is the percent difference between x and sin(x) less than 1.0%?

1 degree or 0.0175 radians

5 degrees or 0.0873 radians

10 degrees or 0.1745 radians

15 degrees or 0.2618 radians

None of these have a percent difference less than 1.0% because the angles have to be really small.

Homework Answers

Answer #1

Given:

For which angles (given in radians and degrees) is the percent difference between x and sin(x) less than 1.0%?

1 degree or 0.0175 radians

5 degrees or 0.0873 radians

10 degrees or 0.1745 radians

15 degrees or 0.2618 radians

None of these have a percent difference less than 1.0% because the angles have to be really small.

  

We want ---    . You have to have your calculator in radians mode and use the radian values :

Try --- ---    is true .

Try --- ---    is true .

Try --- ---    is true .

try --- ---    is not less than .

Of the choices , we then have the percentage difference between and   is less than 1% only for the first three choices :

equivalent to   ,

  equivalent to   , and

equivalent to    ---- SOLUTION .

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In studies of harmonic systems and of circular motion, radians are always used instead of degrees...
In studies of harmonic systems and of circular motion, radians are always used instead of degrees in derivations. This is ________________. an arbitrary choice or preference. necessary and related to the arc length equation. because there is not a one-to-one mapping of theta to sin(theta) when using degrees. because we like Greece more than Babylon. 4 points    QUESTION 12 Which of the following is not unique to simple harmonic systems and could apply to any harmonic system? Motion is...
17:- Many people believe that they can tell the difference between Coke and Pepsi. Other people...
17:- Many people believe that they can tell the difference between Coke and Pepsi. Other people say that the two brands can't be distinguished. To test this, a random sample of 20 adults was selected to participate in a test. After being blindfolded, each person was given a small taste of either Coke or Pepsi and asked to Indicate which brand soft drink it was. If people really can't tell the difference, the expected number of correct identifications in the...
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean...
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 51.4 degrees. Low Temperature (°F)   Frequency 40-44   2 45-49   7 50-54   10 55-59   4 60-64   3 The mean of the frequency distribution is nothing degrees. ​(Round to the nearest tenth as​ needed.) Which of the following best describes the relationship between the computed mean and the actual​ mean? A.The computed mean is notis not close to the actual mean...
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean...
Find the mean of the data summarized in the given frequency distribution. Compare the computed mean to the actual mean of 51.3miles per hour. Speed (miles per hour) 42−45 46−49 50−53 54−57 58−61 Frequency 23 13 6 3 1 The mean of the frequency distribution is___miles per hour. (Round to the nearest tenth as needed.) Which of the following best describes the relationship between the computed mean and the actual mean? A.The computed mean is not is not close to...
In a study conducted in 1980, researchers calculated the height difference between couples with kids in...
In a study conducted in 1980, researchers calculated the height difference between couples with kids in the UK. They found that the height difference between husband and wife follows a normal distribution with mean 5.6 inches and standard deviation equal to 3.7 inches. 1) What is the difference in height for the middle 68% of the couples in the study? 2) Calculate the percentage of couples in which the man is 5 inches taller than the woman. (you have to...
In a study conducted in 1980, researchers calculated the height difference between couples with kids in...
In a study conducted in 1980, researchers calculated the height difference between couples with kids in the UK. They found that the height difference between husband and wife follows a normal distribution with mean of 5.6 inches and a standard deviation equal to 3.7 inches. 1) What is the difference in height for the middle 68% of the couples in the study? 2) Calculate the percentage of couples in which the man is 5 inches taller than the woman. 3)...
Which of the following statements is correct?(x)Adding stocks to your portfolio can reduce firm-specific risk, but...
Which of the following statements is correct?(x)Adding stocks to your portfolio can reduce firm-specific risk, but you will not eliminate market risk.(y)A low standard deviation means that the investment is less likely to achieve a much higher return than its average, but a low standard deviation indicates that the investment is less risky.(z)Expected returns may differ from actual returns because of an unforeseen economic expansion. A.(x), (y) and (z)B.(x) and (y) onlyC.(x) and (z) onlyD.(y) and (z) onlyE.(x) only A...
Nine percent of men and 0.25% of women cannot distinguish between the colors red and green....
Nine percent of men and 0.25% of women cannot distinguish between the colors red and green. This is the type of color blindness that causes problems with traffic signals. (a) If 11 men are randomly selected for a study of traffic signal perceptions, find the probability that at least 3 of them have this type of color blindness. (b) In a group of 160 men, find the mean number that are color blind. (c) In a group of 160 men,...
1. Which of the settings does not allow use of a matched pairs T procedure? A)...
1. Which of the settings does not allow use of a matched pairs T procedure? A) You interview both the instructor and one of the students in each of 20 introductory statistics classes and ask each how many hours per week homework assignments require. B) None of the other options are correct. C) You interview a sample of 15 instructors and another 15 students and ask each how many hours per week homework assignments require. D) You interview 40 students...
1. For a pair of sample x- and y-values, what is the difference between the observed...
1. For a pair of sample x- and y-values, what is the difference between the observed value of y and the predicted value of y? a) An outlier b) The explanatory variable c) A residual d) The response variable 2. Which of the following statements is false: a) The correlation coefficient is unitless. b) A correlation coefficient of 0.62 suggests a stronger correlation than a correlation coefficient of -0.82. c) The correlation coefficient, r, is always between -1 and 1....