# Questions on Algebra: Trigonometry answered by real tutors!

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 Question 154449: I posted a question previously but worded it wrong. It was supposed to be find the values of the six trigonometric functions of an angle O(the o with the line through it) in standard posistion whos terminal side passes through point P with P being (-7,24) Click here to see answer by stanbon(60778)

 Question 154517: Assuming the earth to be a perfect shere with a diameter of 8000 miles, find the angular velocity and linear speed of a point at the equator. Click here to see answer by nerdybill(7090)

 Question 155191: Prove the identity. (must work with left side) (1-2sin(x)^2)=(cos(x)^2) Click here to see answer by stanbon(60778)

 Question 155226: prove (we have to work with the left side) cos(2u)=cos^2u Click here to see answer by stanbon(60778)
 Question 155226: prove (we have to work with the left side) cos(2u)=cos^2u Click here to see answer by jojo14344(1513)

 Question 155242: When a clock hand measuring cm in length moves through 40 minutes, how far does the tip move? Give your answer correct to 2 decimal places. Click here to see answer by checkley77(12569)

 Question 155246: When a clock hand measuring 15.6 cm in length moves through 40 minutes, how far oes the tip move? Give your answer correct to 2 decimal places. Click here to see answer by checkley77(12569)

 Question 155308: (Please Help...midnight deadline!)I really need to understand this type of problem (I'll give 2 examples): Simplify the expressions below. (a) For -00 < t < 00, cos( tan^-1( t ))=____________ (b) For -1 < w < 1, cot( cos^-1( w ))+____________ I understand that cos=adj/hyp and tan=opp/adj, but what is the relationship of cos to tan^-1 in this problem? I also understant limiting the range (ie. b), just not the relationship between cot and cos. Appreciate any help I can get ...thanks. Click here to see answer by stanbon(60778)

 Question 155582: Given that sine theta equals 4/5 and theta is acute, find the value of the remaining 5 trigonometry functions. Click here to see answer by Alan3354(34679)
 Question 155582: Given that sine theta equals 4/5 and theta is acute, find the value of the remaining 5 trigonometry functions. Click here to see answer by ilana(307)

 Question 155588: I don't understand this problem. Please help!!!! Your employer offers you a choice of wage scales: a monthly salary of \$3200 plus commission of 7% of sales or a salary of \$3700 plus a 5% commission. At what sales level would the options yield the same salary? Click here to see answer by ankor@dixie-net.com(16527)

 Question 155583: 2 sine theta + 1 = 0, 0 is less than or equal to theta which is less than 2 pi Click here to see answer by Alan3354(34679)

 Question 155903: What are the values of the indices i and j for the element that is in the fifth column and fourth row? a. 4, 5, respectively b. 5, 4, respectively c. Either 4, 5 or 5, 4; they are interchangeable d. There are no elements in matrices Click here to see answer by Fombitz(13828)

 Question 156051: If v = 5i - 12j, then | v | = a. 5 b. -12 c. 7 d. 13 Click here to see answer by oscargut(1838)

 Question 156049: I^-1 = a. 0 b. I c. 1 d. You cannot find the inverse of this matrix Click here to see answer by oscargut(1838)

 Question 156066: When using parametric equations, what is the most often used parametric variable? a. x b. t c. \$d d. θ Click here to see answer by dave41082(4)

 Question 156050: Adding together the first ten natural numbers is an example of a(n): a. series b. arithmetic series c. geometric series d. power series Click here to see answer by jim_thompson5910(29613)

 Question 156169: point P is on the terminal side of angle theta. Evaulate the six trigonometric functions for theta. P(-4,-6) Click here to see answer by stanbon(60778)

 Question 156052: If, in a system of three linear equations, it turns out that one row is a multiple of another row, then this means that these linear functions are: a. indeterminate b. inconsistent c. intersecting d. nothing; you made an error in your calculations Click here to see answer by SAT Math Tutor(36)

 Question 156185: What is the value of the infinite series governed by and ? a. b. c. d. Click here to see answer by Edwin McCravy(9719)

 Question 156182: How many sequential values are there in a series whose difference is 3, begins at 2, ends at 14, and whose sum is 40? a. 6 b. 4 c. 13 Click here to see answer by checkley77(12569)

 Question 156302: hello im a homeschool parent and i really need our help Find the lowest common denominator for each of the sets of fractions 1. 4 5 - ,- 5 12 2. 3 1 5 - ,- ,- 4 3 9 3. 2 7 ---- , ------ a^2 b^2 a^5 b 4. 5x^2 14xy 3 ------ ------ ------- 3y^3 8z^2 9xy^2 5. 2r 7s 15t ------, ------ , ------ 35st 5r^3 t^5 7r^7 s^5 6. xy 3y 2x ------ , ------- ,------ (x+y)^2 (x+y)^3 x+y 7. 2 7 9 ---, ---, ------- 3 ab 3a+3b 8. 4 3 ---------- , -------- x^2 + 5x + 6 x^2 - 4 9. 17a 11a^2 ----------- , ------------ a^2 - 2a - 3 a^2 - 4a + 3 10. x y+2 y^2 ------------- ,------------- ,------------- x^2 + 3x - 4 x^2 + 5x - 6 x^2 + 10x + 24 11. 5 y+2 y^2 ----------- ,------------ ,------------- y^2 - 25 y^2 + 8y + 15 y^2 - 2y - 15 12. 2x 3y --------- ,--------- x^2 - y^2 2x + 2y 13. 5 2 3 ------ ,------ , ---------- a^3 + 8 a^2 - 4 a^2 - 2a + 4 Change the following fractions to equivalent fractions with the lowest common denominator 14. 4 2 8 --, -- ,--- 5 3 25 15. 5 12 4 ---- ,----- ,----- x^2 y xy^2 16. 3a 4b c ----- ,----- ,----- 2b 7c 3a 17. x 2x 1 -------- ,-------- ,--------- x^2 - 36 x - 6 x + 6 18. 5 11 ----------- ,----------- a^2 - 5a - 14 a^2 - a - 6 19. y+2 y-2 -------- ,------------ y^2 - 1 y^2 + 2y + 1 20. z 1 2z ----- ,----- ,------ x-y x+y y-x 21. xy x y -------------- ,------- ,---------- x^2 + xy + y^2 x - y x^3 - y^3 Click here to see answer by oscargut(1838)

 Question 156361: A car is traveling at a speed of 45 miles per hour. Find the angular velocity of a tire in revolutions per minute if the diameter of each rim is 13 in. with 4 in. of tire between the road surface and each rim. Click here to see answer by stanbon(60778)

 Question 156358: A ramp on a freeway is circular in shape. If the radius is 54 meters and the central angle is 210 degrees, what is the length of the ramp? Give answer to 2 decimal places. Click here to see answer by Alan3354(34679)

 Question 156356: To the nearest revolution per minute, find the angular velocity of a 28 inch bicycle wheel that has a linear speed of 30 miles per hour. Click here to see answer by Alan3354(34679)

 Question 156354: The minute hand of a clock is 6 cm long. To the nearest tenth, find the area of the sector covered by the minute hand of the clock in 20 minutes. Click here to see answer by SAT Math Tutor(36)

 Question 156483: 2 cars race around a circular track, in opposite directions, at constant speeds. They start at the same point and meet every 30.0 seconds. If they move in the same direction, they meet every 120.0 seconds. If the track is 1800 meters long, what is the speed of each car? Click here to see answer by ankor@dixie-net.com(16527)

 Question 156558: How do i simplify this equation further? sin120(6) over sin30 = sqrt3 over 2 multiplied by 6 over 1/2 =? Click here to see answer by oscargut(1838)

 Question 156587: Name in degrees the smallest non-negative angle that is coterminal with -10/3 pi. Click here to see answer by stanbon(60778)

 Question 156586: Find the length of the arc intercepted by a central angle of 65 degrees in a circle of radius 10 cm. Click here to see answer by stanbon(60778)

 Question 156585: Find the angular velocity in radians per second of a wheel turning at 25 revolutions per minute. Click here to see answer by stanbon(60778)
 Question 156585: Find the angular velocity in radians per second of a wheel turning at 25 revolutions per minute. Click here to see answer by Alan3354(34679)

 Question 156584: The wheel of a truck is turning at 6 revolutions per second. The wheel is 4 feet in diameter. A. Find the angular velocity of the wheel in radians per second. B. Find the linear velocity in feet per second of a point on the rim of the wheel. Click here to see answer by Alan3354(34679)

 Question 156672: from the top of a fire tower, the angle from your hoizontal line of sight down to the fire on the ground is what angle? Click here to see answer by mangopeeler07(462)
 Question 156672: from the top of a fire tower, the angle from your hoizontal line of sight down to the fire on the ground is what angle? Click here to see answer by gonzo(654)

 Question 156682: Find the value of the six trigonometric functions a=2 b=3 c=? Click here to see answer by mangopeeler07(462)

 Question 156188: If event A is required for event B to exist, and event B is required for event A to exist, then we can definitely say: a. the events are mutually dependent b. the events are mutually inclusive c. the events are mutually exclusive d. the events are mutually independent Click here to see answer by jojo14344(1513)