Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 31277: Jane started north 2 hours ahead of Julie who was also northbound from the same location. If Julie traveled 60 mph and Jane at 40 mph, how lond did it take Julie to get 20 miles ahead of Jane? Click here to see answer by Paul(988)

 Question 31496: The equation (sin x)^6 +(cos x)^6=a has a real solution for which of the below mentioned cases:- A.0.5<=a<=1 B.0.25<=a<=0.5 C.-1<=a<=1 D.0<=a<=0.5 Click here to see answer by venugopalramana(3286)

 Question 31981: I have alot of questions similar to this, and I would like an example done for me. I don't understand the Law of Cosines very well... heres one question: If a=4, b=5, and c=7, find angle A. thanks! Click here to see answer by stanbon(57387)

 Question 31983: Expand (3cos^2theta + 2sec^2theta)^2 i figured this much but got stuck after this: (3cos^2theta + 2sec^2theta)(3cos^2theta + 2sec^2theta) (9cos^4theta + 4sec^2theta6cos^2theta + 4sec^4theta) 9cos^4theta + 4 (1/cos theta)^2 6cos^2theta + 4(1/cos theta)^4 i'm stuck, please help me! thanks! Click here to see answer by stanbon(57387)

 Question 31980: Solve Triangle ABC. A=90, b=4, c=7. i figured out that the hypotenuse (leg a) is the square root of 65 by using the pythagorean theorem, but how do i find angle B and C? Click here to see answer by stanbon(57387)

 Question 31998: solve the system by the method of substitution Xsquared - Ysquared =9 X-Y=1 can you show me the steps to solve? Click here to see answer by joey_quizan(15)

 Question 32062: hi i need help seriously \ g(x)=-2x+3 find the inverse of the function log^381=x 5^x-4=625 27(3^x)=3^-1 Click here to see answer by stanbon(57387)

 Question 32059: sketch y=3cos(2t+ 40 degrees),0 < t < 360 degrees Click here to see answer by venugopalramana(3286)

 Question 32084: Venugopalramana has kindly calculated and ploted the data from y=3cos(2t+ 40 degrees),0 < t < 360 degrees. But I do not know how the data was calculated and how he plotted the data. Could Venugopalramana or another tutor please explain the steps to calculating the data. Thankkyou Click here to see answer by venugopalramana(3286)

 Question 32124: Hi i am having trouble with some of my trigonometry problems i dont get it at all it is way over my head 1] log(b) square root of x/y^2z 2] 5^x+1=41 3] log(1/2)8=-3 4] log(3) 81=x i hope you answer this i really need help i dont understand this thank you by the way for the last set of questions you helped me a lot thank you brittny Click here to see answer by stanbon(57387)

 Question 32144: Hi i am having trouble with this problem the directions say "change each exponential equation to its logarithmic form" 2^10=1024 i hope you can help me thanks again brittny Click here to see answer by stanbon(57387)

 Question 32224: Solve 11sin^2 y=13-sin^2 y for y, where 0<_y<360. How many angles satisffy this equation? Round anzwer to nearest tenth. what second quadrant satisfies this equation what fourth quadrant angle satisfy this equation? Click here to see answer by venugopalramana(3286)

 Question 32418: Can you explain how to substitute cot (angle) with 1/root3 Click here to see answer by venugopalramana(3286)

 Question 32413: the chinese used a way of measuring heighth of a mountin by viewing it from 2 diffrent locations and counculating the angle from where thay were to the top of the mountain. the frist angle measure was 8.7° and the 2nd was 7.5°. the two angles were measured from 18,325 feet apart. how tall is the mountain? Click here to see answer by venugopalramana(3286)

 Question 32568: The population of deer living in an enclosed game reserve displays regular fluctuations in size. Wildlife biologists have chosen to model the population size with a sinusoidal function. At its height the deer population is 7000, while at its low it is 2000. The time between highs and lows is 6 months. The population at the start of January, 2001 is 4500 and decreasing. Consider January, 2001 to correspond to time t = 0. a) Model the deer population as a function of time t in months. I'm just having a little trouble with the actual function for this one, I managed to figure out the graph I think but can't figure out how to set up the function with the numbers given. Please help if you can... Thanks a bunch, you guys are always such a big help. Click here to see answer by stanbon(57387)

 Question 32499: prove that 1 - tan^2x = (1 - 2sin^2x)(1+tan^2x) Click here to see answer by Fermat(127)

 Question 32485: Develop the formula for the tangent of the sum of angles in terms of the tangent of the separate angles alpha and beta. (I know i have to use tan(alpha + beta) = sin(a + B)/ cos(a + B) Click here to see answer by Fermat(127)

 Question 32492: solve triangle ABC using the given info... A=62 deg, B=34 deg, b=6... and that concludes my questions on solving triangles, i really need help. thank you so much! Click here to see answer by stanbon(57387)

 Question 32647: The perimeter of a rectangular reflecting pool in a formal garden is going to be 288 feet. If the surface area of the water is to be 4895 ft^2, give the dimensions. Click here to see answer by checkley71(8403)

 Question 32479: prove the following identity: sin theta cos theta - sec theta sin theta = -sin^2 theta tan theta Click here to see answer by Fermat(127)

 Question 32645: solve 4x^2 - 6 = 5x i got this far and got stuck: 4x^2 - 5x - 6 = 0 (2x )(2x ) Click here to see answer by Earlsdon(6287)

 Question 32646: solve x(x-1) = 3x + 2 I got x^2 - x = 3x + 2 x^2 - 4x - 2 = 0 im stuck! Click here to see answer by mukhopadhyay(490)

 Question 32644: show the steps to simplify the first expression to the second expression: I'll let theta be equal to x. csc^2x - cot^2x/1+tan^2x , cos^2x thanks so much to whomever can help me with this! Click here to see answer by venugopalramana(3286)

 Question 32773: Solve each equation for all values of theta. the problem is sin(theta/2) plus cosine(theta/2)= sqrt(2) Click here to see answer by stanbon(57387)

 Question 32864: For right ABC, angle A = 33 degrees, c = 14. Find a. Click here to see answer by stanbon(57387)

 Question 32871: express the same function of a positive acute angle of cos 149 degrees not using a calculator. Click here to see answer by stanbon(57387)

 Question 32872: express as the same function of a positive acute angle of csc 101 degrees not using a calculator. Click here to see answer by stanbon(57387)

 Question 32870: Express the same function of a positive acute angle of sin -315 degrees not using a calculator. Click here to see answer by stanbon(57387)

 Question 32869: Find the area of a segment of a circle whose diameter is 9 inches, if the segment has a central angle of pie/3 radians. Click here to see answer by stanbon(57387)

 Question 32867: The angular velocity of a tire is 25 radians/second. find the linear velocity of a tack stuck in the tread of the tire if the diameter of the tire is 2 feet. Click here to see answer by stanbon(57387)

 Question 32865: An aircraft carrier follows a course that has a latitude of 288 miles north and a departure of 240 miles east in one day. Find its bearing. Click here to see answer by stanbon(57387)

 Question 32767: A ramp is to be built up to a doorway. Its slope is to be 1/13. What angle will the ramp make with the horizontal? I understand that it is a right triangle, and that you probably use Sine, Cosine or Tangent, but I am not sure which one to use or what numbers. Click here to see answer by josmiceli(9697)