# Questions on Algebra: Trigonometry answered by real tutors!

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 Algebra: Trigonometry Solvers Lessons Answers archive Quiz In Depth

 Question 73561: Find the real and complex solution of the equation Click here to see answer by johnpickett(2)

 Question 73840: Trigonometry-basics/73819 (2007-03-08 13:33:50): I am studying DeMoivre's Theorum in Aplications of Trigonometry, I was asked to find the real and complex solution to the equation Possible answers a. -2,2, b. 2,, c. -2,, d. ,, Click here to see answer by stanbon(57226)

 Question 73916: Find the exact value of sin^-1(-sqrt3/2). a.2sin(4t)cos(2t) b.2cos(4t)sin(2t) c.2cos(4t)cos(2t) d.2sin(4t)sin(2t) Than you for you help Click here to see answer by stanbon(57226)

 Question 73914: If (theta) is a second-quadrant with cos(theta)=, find the exact value of cos2(theta). a. -3/5 b. -2/5 c. 2/5 d. 3/5 Click here to see answer by stanbon(57226)
 Question 73914: If (theta) is a second-quadrant with cos(theta)=, find the exact value of cos2(theta). a. -3/5 b. -2/5 c. 2/5 d. 3/5 Click here to see answer by bucky(2189)

 Question 73911: Express as a trigonometric function of one angle sin44cos22-cos44sin22. (all Numbers are degrees) a. cos22 b. cos66 c. sin22 d. sin66 Click here to see answer by stanbon(57226)

 Question 73910: Use the addition and subtraction formulas to simplify cos(x-). a. cos x b. sin x c. -cos x d. -sin x Click here to see answer by bucky(2189)

 Question 73908: Find all solutions to the equation sin x = 0. a. x = n b. x = 2n c. x = n d. x = + 2 n Click here to see answer by bucky(2189)

 Question 73943: Find all solutions in the interval [0,2PI] to the equation . a. x = 0, PI/2 b. x = 0, PI c. x = PI/2 3PI/2 d. x = 0, PI/2, PI, PI/2 Click here to see answer by jim_thompson5910(28476)
 Question 73943: Find all solutions in the interval [0,2PI] to the equation . a. x = 0, PI/2 b. x = 0, PI c. x = PI/2 3PI/2 d. x = 0, PI/2, PI, PI/2 Click here to see answer by ffc_01(9)

 Question 73942: Find the exact value of cos^-1 the possible answers are a. -PI/3 b. PI/3 c. 2PI/3 d. 4PI/3 Thank you Click here to see answer by jim_thompson5910(28476)

 Question 74067: A sequence of diagonal lines is drawn from points (1,0),(2,0),(3,0),(4,0),...(10,0) on the x-axis to corresponding points (0,1),(0,2),(0,3),(0,4),...(0,10) on the y-axis. What is the total length of those lines? Click here to see answer by stanbon(57226)

 Question 74071: Give the sum p+q where p/q is the reduced fraction represented by the repeating decimal 2.1. Click here to see answer by stanbon(57226)

 Question 74069: Find the value of x where 201, x, 1089 are three consecutive terms in a geometric sequence. Click here to see answer by checkley75(3666)

 Question 74224: Find the sum of the infinite geometric series 1 + 3/5 + 9/25 + 27/125 + .... Click here to see answer by bucky(2189)

 Question 74227: What is the coefficient of x^5 in the expansion of (x+3)^8? Click here to see answer by jim_thompson5910(28476)

 Question 74355: Express the sum 1x2 + 2x3 + 3x4 + 4x5 + ... + 10x11 in summation notation. Click here to see answer by jim_thompson5910(28476)

 Question 74358: Given that n^2 + n = 2k, how can (n+1)^2 + (n+1) be written as a multiple of 2? Click here to see answer by stanbon(57226)

 Question 74356: Find the a(sub2) in the arithmetic sequence where a(sub5) = 42 and a(sub10) = 62. Click here to see answer by stanbon(57226)

 Question 74471: How many 2-digit numbers can be formed with the digits 1,2,3,4,5,6? Click here to see answer by scott8148(6628)

 Question 74586: A class assignment requires that a student work 4 problems from a collection of 12. How many ways are there to complete the assignment? Click here to see answer by stanbon(57226)

 Question 74587: Find the number of distinguisable permutations of the letters in the word PEPPERY. Click here to see answer by stanbon(57226)
 Question 74587: Find the number of distinguisable permutations of the letters in the word PEPPERY. Click here to see answer by Nate(3500)

 Question 74588: A single card is drawn from a standard deck. Find the probability that the card is a spade or an ace? Click here to see answer by Nate(3500)
 Question 74588: A single card is drawn from a standard deck. Find the probability that the card is a spade or an ace? Click here to see answer by stanbon(57226)

 Question 74589: Tweo six sided dice are tossed. Find the probability that the sum is 2 or 12. Click here to see answer by Nate(3500)

 Question 74592: Five fair coins are tossed. Find the probability of obtaining 4 heads and 1 tail. Click here to see answer by Nate(3500)
 Question 74592: Five fair coins are tossed. Find the probability of obtaining 4 heads and 1 tail. Click here to see answer by stanbon(57226)

 Question 74593: Two balls are drawn (without replacement) from an urn that contains four balls, five green balls and seven white balls. Find the probability that both balls are white. Click here to see answer by Nate(3500)

 Question 74591: Use the formula a(sub1) + a(sub1)r + a(sub1)r^2 + ...+ a(sub1)r^n-1 = a(sub1) 1-r^n/1-r for the nth partial sum of a geometric sequence to find the sume 1 + 2/3 + 4/9 + 8/27 + ... + 64/729. Click here to see answer by stanbon(57226)

 Question 74475: I have a question- what equation do I use to work out the angles in a right angled triangle if there is a 5.6m line extending up the y axis and a 3.6m line extending along the x axis - both at a right angle to each other. There is an angled line from the top of the 5.6m line to the end of the 3.6m line. The angle i'm after is between the top of the 5.6m line to the line extended to the end of the 3.6m line.??? If you could help me out it would be great!!! Click here to see answer by scott8148(6628)

 Question 74630: A triangle has a side 100 feet long and a second side 35 feet long with a 25 degree angle between them. What is the approximate area of the triangle? Click here to see answer by venugopalramana(3286)

 Question 74692: Can someone help solve this? Let H(t)=4+4sin(pi t/2). Approximate to the nearest hundredth all values t in the interval [0,4 pi] for which Ht=6. Click here to see answer by venugopalramana(3286)

 Question 74691: Could someone help solve this question? sqrt2sinx = 1 Click here to see answer by venugopalramana(3286)

 Question 74754: How do you draw this angle 2PI/9? i know that you need to convert it into degrees so what i got so far is 2PI/9 * 180/PI = 360PI/9PI i have no clue if im even on the right track so can you please help me? Click here to see answer by Earlsdon(6287)
 Question 74754: How do you draw this angle 2PI/9? i know that you need to convert it into degrees so what i got so far is 2PI/9 * 180/PI = 360PI/9PI i have no clue if im even on the right track so can you please help me? Click here to see answer by jim_thompson5910(28476)

 Question 74773: OK now i have a question that i TOTALLY don't get. Its how do you find the arc length and area of a sector with the given..... r=2cm, and the weird 0 with the slash through it =9PI/20 Please help!!! Click here to see answer by jim_thompson5910(28476)

 Question 74789: Express the complex number 12|cos(pi/3)+isin(pi/3)| in the form of a+bi without trigonometric functions. Click here to see answer by jim_thompson5910(28476)

 Question 75358: Find an equation in x and y for the curve given by the parametric equation x=e^-t, y=-2t, t in R. I came up with y=x^2, but don't feel it's right. Please help. Thanks Click here to see answer by nilan(15)

 Question 75884: Please help me tan(3x)+1={square root(2)}sec(3x) so far i have tried: (tan(3x)+1)^2=(sq rt(2))^2(sec(3x))^2 tan^2(9x^2)+1^2=2sec^2(9x^2) tan^2 +1=2sec^2 tan^2+1 = sec^2 ------- 2 I am totally confused now. This problem was assigned by my teacher. We are using Trigonometry a Unit Circle Approach 7th edition by Sullivan ISBN # 0-13-143111-0 Click here to see answer by kev82(148)

 Question 76323: what is the square root of 3 time the square root of negative 3? Click here to see answer by stanbon(57226)

 Question 76373: 4^x + 4^-x = 5/2. What is x Click here to see answer by ankor@dixie-net.com(15628)

 Question 77181: if tanA + secA = 2 where a is acute then which option is correct. a) tan A < Sec A b) Cosec A > CotA c) Sec A > Cosec A d) CotA > Tan A Click here to see answer by Edwin McCravy(8880)

 Question 77324: if f(x)=3sinx + 2cos2x, the value of (Pie/2) is Click here to see answer by jim_thompson5910(28476)

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