4.4+due+9-7


 * __REMINDER:__ Problems need to be in numerical order and at the end of each section the name of the person who worked the problems and the person who checked the problems needs to be listed.**


 * 2)**

That's what I got too! Checked By: Alyssa Sturgis
 * Work by Mady Smith**

Done by: Leslie Baker
 * 6. I found r by doing root (64+225), which equaled to 17. I then was able to use the coordinate (8,15) to find all six trig functions**
 * Sin= 15/17 Csc= 17/15**
 * Cos= 8/17 Sec= 17/8**
 * Tan= 15/8 Cot= 8/15**


 * 10. I found r by doing root (25+36) which equaled to root 61. I then used the coordinate (-5, -6) to find all six trig functions**
 * Sin= -6/root 61 Csc= root 61/ -6**
 * Cos= -5/root 61 Sec= root 61/ -5**
 * Tan= 6/5 Cot= 5/6**


 * Done by Blake Schreiber**


 * Edit: I just realized I was supposed to check it instead of doing the work...so this is my checking just in lots of detail.**


 * 14. Quadrant II**
 * 16. Quadrant III**
 * 18. sin= -3/5 csc= -5/3**
 * cos= -4/5 sec= -5/4**
 * tan= 3/4 cot= 4/3**


 * Done by Rachel West**
 * CORRECTION: **
 * 14. Quadrant IV **

Checked by Peter Radecki I got the same answers.
 * Done by Jonathan Eichelberger**


 * 28. 4x+3y=0 QIV**
 * 3y=- 4x**
 * y=- 4/3**


 * (- 4)^2 + (3)^2 = 5**


 * Sin= (- 4/5) Csc= (- 5/4)**
 * Cos= (3/5) Sec= (5/3)**

Done by Morgan Miller **30-38 Worked By Emily Johnson** **I got the same thing! Checked By Anjelica Rivas**
 * Tan= (- 4/3) Cot= (- 3/4)**
 * CORRECTION: **
 * 34. csc 3pi/2 = 1/ (sin 3pi/2) = 1/-1 = -1 **
 * 36. csc pi/2 = 1/ (sin pi/2) = 1/ 1 = 1 **

Done by: Abby Demiano (This picture will probably be too large for the active board - I wasn't sure how to save the file smaller, sorry!) 44.48.50.52) I got the same answers for all but 52 for that one i got 1.42 but im not sure. Checked by: Emma McRae **Angles can also be left in Radians**      54. Convert 300 degrees to radians ---> 300 degrees x (pi/180 degrees) = (5pi/3), the coordinate for (5pi/3) is ( (1/2), (-root3/2) )sin θ = (-root 3/ 2) csc θ = (-2root3/ 3)cos θ = (1/2) sec θ = 2tan θ = (-root 3/4) cot θ = (-4root3/3) 58. Convert -330 degrees to radians ---> -330 degrees x (pi/180 degrees) = (-11pi/6), the coordinate for (-11pi/6) is ( (root3/2), (1/2) ) sin θ = (1/2) csc θ = (2)cos θ = (root 3/2) sec θ = (2root3/3)tan θ = (root3/3) cot θ = (root3)

60. The coordinate for (3pi/4) is ( (root2/2), (root2/2) ) sin θ = (root2/2) csc θ = (root 2)cos θ = (-root2/2) sec θ = (- root 2) tan θ = (-1) cot θ = (-1) 62. The coordinate for (-4pi/3) is ( (-1/2), (root3/2) ) sin θ = (root3/2) csc θ = (2root3/3)cos θ = (-1/2) sec θ = (- 2) tan θ = (-root3) cot θ = (-root3/3) 54, 58, 60, & 62 Done by Amy Finkelstein  ** CORRECTION: ** ** 54. tan 300 degrees = - root3 ** Done by Aggie Tutia I got the same answers -Michael Herzberg 84. The coordinate is (√2/2, - √2/2) sin θ: -( √2)/2 (y coordinate), cos θ : (√2)/2 (x coordinate), tan θ : -1 (I took the inverse of the x coordinate and multiplied it by the y and simplified to get -1)  88. Coordinate (√3/2, -1/2) sin θ: -1/2 (y coordinate), cos θ : √3/2 (x coordinate), tan θ : -√3/3 (took the inverse of the x coordinate and multiplied it by the y then the 2s canceled out leaving me with that)  92. -3.8637 (I put cos(105)^-1 into the calculator.)  by Daniel Leeper for 84. i got -.6052 and for 88. i got .8391 by just plugging it into the calc and just having it in radian mode as for 92a) i got 45 degrees=pi/4 or 135degrees = 3pi/4, and for B i got 225 degrees=5pi/4 or 315 degrees=7pi/4- Checked by Alex Dubois   94. a. csc: neg. root 2 which equals sin: neg. root 2 over 2. the solution can be 225 degrees and 5pi/4 radians, or 315 degrees b. csc: 2 which equals sin: 1/2. The solutions could either be 30 degrees and pi/6, or 150 degrees and 5pi/6. 96. a. Got confused, couldnt do it. b. sec: root 2 which equals sin: root 2 over 2. the solution could either be 45 degrees and pi/4 or 135 degrees and 3pi/4. Done by Fred Jordan   EDIT: 94) a./b. I got the same answers :) 96) a. because I used the unit circle to find the solutions to the other problems, i could not figure this one out either. b. I got the same thing for this one too.
 * CORRECTION: **
 * 96 a. cot x = -root3 **
 * tan x = -1/root3 **
 * therefore, the angle is either in Quadrant II or IV **
 * 150 degrees or 330 degrees **
 * (draw a reference triangle to help you - if you know tangent, you can find sin and cos and use the unit circle to find the corresponding angle) **

98) It said that the formula 23.1+.442t+4.3sin(pi t/6) = S where t is is months and S is in thousands would give you the number of sales. So i just plugged in the numbers.

(a) January 2004... 23.1+.442(1)+4.3sin[(pi1)/6] = 23.581. So it's about 23,600 sales.

(b) February 2005... 23.1+.442(14)+4.3sin[(pi14)/6] = 29.837. So it's about 29,800 sales.

(c) May 2004... 23.1+.442(5)+4.3sin[(pi5)/6] = 25.506. So it's about 25,500 sales.

(d) June 2004... 23.1+.442(6)+4.3sin(pi) = 25.988. So it's about 26,000 sales. I cancelled the 6 out in d.

EDIT:

98) a) right b) i got 29.56 instead of 29.837 c) i got 24.94 instead of 25.506 d) i got 25.86 instead of 25.988 Checked by Ben Bogaert
 * CORRECTION: **
 * 98 **
 * a. s(1) = 23.1 + 0.442(1) + 4.3sin(pit/6) = 25.7 thousand **
 * b. s(14) = 33.0 thousand **
 * c. s(17) = 32.8 thousand **
 * d. s(18) = 31.1 thousand **

102) I worked it out and got yes.I followed the unit circle around to get each coordinate. I don't know how to put it in words other than maybe that because the values' coordinates have the same x and y values just with flipped negatives, and with both values in Quadrants 2 and 4, in which cot is negative, the values come out equal. Done by: Quinn Taylor

EDIT 102) I got false. When you work it out you get 1=-1, which is false.

Checked by Ben Bogaert