# MTH1014 Quiz 7Fall 2013

This web page is http://www.bernstein-plus-sons.com/.dowling/MTH1014F13/MTH1014_Quiz_7.html

This is quiz 7 to be taken by Tues, 12 November 2013. It should take you between half an hour and 2 hours to answer the following questions. You should do this quiz after doing the rest of assignment 7'.

<==== Do this AFTER you've answered all the questions

You probably DON'T want to do this ===>

Please fill in the following information:

Name:

Email:

Skype ID:

Please answer the following questions on this form (or on a paper copy of this form).

1. Carefully define the terms degree and radian as they apply to measuring angle and give a formula showing how to convert an angle measured in degrees to an angle measured in radians.

2. Convert each of the following angles measured in degrees, minutes and seconds to an angle measured in radians given to 10 decimal digits: 1 second; 12 degrees, 15 minutes, 10 seconds; 359 degrees, 59 minutes, 59 seconds; 45 degrees; 90 degrees; 135 degrees. Do _not_ give your answer in terms of multiples of pi, use the value of pi = 3.14159265359 to 12 digits and multiply out.

3. Carefully explain the relationship between angular speed and linear speed. Then, after you write out that explanation, apply what you have written to compute the linear speed of the edge of a disk 2 inches in diameter that is spinning at 15000 rpm.

4. Carefully explain the meaning of each of the following functions: sin(theta), cos(theta), tan(theta), csc(theta), sec(theta), cot(theta).

5. Compute all 6 of the functions listed in question 4 for the following values of theta: 0 deg, 45 deg, 60 deg, 90 deg, 120 deg, 135 deg.

6. Explain the complementary angle theorem and then, after you have explained it, apply it and your answer to question 5 to compute all 6 of the functions listed in question 4 for the following values of theta: 90 deg, 45 deg, 30 deg, 0 deg, -30 deg, -45 deg, showing your work, not just giving the answers.

7. Give the signs of each of the 6 functions listed in question 4 for each of the 4 quadrants.

8. Compute the value of the function f(theta) = 2*sin(theta)*cos(theta) as exactly as you can for each of the following values of theta: 0 deg, 30 deg, 60 deg, 120 deg.

9. Compute the value of the function f(theta) = (sin(theta))2 + (cos(theta))2 as exactly as you can for each of the following values of theta: 0 deg, 45 deg, 60 deg, 90 deg, 120 deg, 135 deg.

10. State the even-odd properties of each of the 6 functions: sin(theta), cos(theta), tan(theta), csc(theta), sec(theta), cot(theta).

11. In words, not pictures, explain the shapes of each of the 6 functions: sin(theta), cos(theta), tan(theta), csc(theta), sec(theta), cot(theta).

12. Working in radians, not degrees, using a graphing calculator or a scrap piece of paper, plot the function f(x) = 4*sin(3*x-2)+4 and report the following information about this function: the amplitude, the period, the phase , the minimum value of f(x), the maximum value of f(x), the vertical shift and the value of x closest to the origin where f(x) is zero.

<==== Do this AFTER you''ve answered all the questions

You probably DON'T want to do this ===>

Revised 11 April 2013