1. AP CAlc. AB

    limit x->0 (3k+k(x^2) sin(1/x)), if k is a positive constant

    asked by Lily on September 6, 2014
  2. Calculus

    Find the positive integers k for which lim ->0 sin(sin(x))/x^k exists, and then find the value the limit. (hint:consider first k=0, then k=1. Find the limit in these simple cases. Next take k=2 and finally consder k>2 and find the limit in these cases as

    asked by Sybil Jones on September 24, 2011
  3. Calc

    If n is a positive integer, find the limit as n approaches +∞ of 1/n(sin (π/n) + sin (2π)/n + ... + sin (nπ)/n)

    asked by Erica on February 21, 2011
  4. Integration?

    Sorry, i have a load of questions on integration... thanks for any help provided! Evaluate the integrals: limit 0 to pi/4 ∫ [sec^2x]/[5+tanx] dx limit 0 to pi/6 ∫ [3cos3x]/[3+sin3x] dx limit 0 to 3 ∫ [2x-1]/[x^2-x+1] dx

    asked by Arisa on June 19, 2009
  5. Calculus

    Hello, I just wanted to verify if my work was good. Calculate the following integral by parts: ∫ upper limit is 1/5 and lower limit is 1/10. of 10sin^-1 (5x)dx so first I named the variables: u = 10 sin^-1 (5x) du = 50 / sqr(1-25x^2) dv = dx v = x so we

    asked by Robert on September 7, 2012
  6. Definite integral by parts (correction)

    Hello, I just wanted to verify if my work was good. Calculate the following integral by parts: ∫ upper limit is 1/5 and lower limit is 1/10. of 10sin^-1 (5x)dx so first I named the variables: u = 10 sin^-1 (5x) du = 50 / sqr(1-25x^2) dv = dx v = x so we

    asked by Robert on September 5, 2012
  7. Calculus

    Does the series (1+sin(n))/(10^n) from summation 0 to positive infinity converge or diverge? I let an = (1+sin(n))/(10^n) and bn = 1/10^n lim as n approaches positive infinity = an/bn = ((1+sin(n))/(10^n))/(1/(10^n))= 1+sin(n)= positive infinity. I don't

    asked by Joshua on April 16, 2009
  8. calculus

    Determine whether the following is convergent of divergent. integral(lower limit=0, upper limit=infinity)of sin(x)sin(x^2)dx Thanks

    asked by Hector on July 23, 2008
  9. calculus help

    consider lim -->0^+ 1)sin(4x)/sin(3x) find the limit using a table of values 2)based on your answer what should the limit equal?

    asked by Kimberly on September 12, 2012
  10. Calc

    I have a test soon.. and I really need to know how to do this problem.. please help!!! lim as x-->0 sin^2(x)/tan(x^2) the answer is 1, but I have no clue how to get that! Use series expansions. Look up Taylor expansion on google and study that topic first.

    asked by Urgent on March 30, 2007
  11. calculus help again

    if f'(x)=cos x and g'(x)=1 for all x, and if f(0)=g(0)=0, then the limit x--->0 fo function f(x)/g(x)= okay, so f(x)=sinx g(x)=x and the f(0)=g(0)=0 is also satisfied and equals o. so the limit x-->o of sinx/x= is the answer nonexistent according to the

    asked by david on December 7, 2006
  12. Math-Limits

    sqrt(1+tan x)-sqrt(1+sin x) lim all divided by x^3 x-->0 Use that Sqrt[1+x] = 1+ 1/2 x + 1/2 (-1/2)/2 x^2 + 1/2(-1/2)(-3/2)/6 x^3 + O(x^4) You can thus write the numerator as: 1/2 [tan(x) - sin(x)] - 1/8 [tan^2(x) - sin^2(x)] + 1/16 [tan^3(x) - sin^3(x)] +

    asked by Matt on March 5, 2007
  13. calculus

    using the squeeze theorem, find the limit as x->0 of x*e^[8sin(1/x)] what i did was: -1

    asked by Lid on October 27, 2015
  14. Calculus-Limits

    Okay, i posted this question yesterday, however, I did not really understand the answer I received. If your the one who answered my question, could you please elaborate. If not, could you try to answer this tough, for me, question. Thanks a lot. lim x-->0

    asked by Matt on March 6, 2007
  15. calculus

    F.(0) (10 puntos posibles) C1 What is limh→0cos(π6+h)−cos(π6)h? (Enter the answer as a decimal. If the limit does not exist, enter DNE.) sin responder Loading C2 At which of the five points on the graph are dydx and d2ydx2 both negative? Click all

    asked by JuanPro on August 12, 2015
  16. d/dx

    d/dx( ln |sin(pi/x)| ) = ? Thanks. If those are absolute value signs, the derivative will not exist when sin (pi/x) = 0, because of the sign change that occurs there. Assume sin (pi/x) > 0 Let u(x) = pi/x and v(x) = sin x, and use the chain rule. d/dx ln

    asked by Jen on December 13, 2006
  17. maths 2

    The original question I had was write arcsin4 in the form a+ib. I manage and understand how to get so far BUT How do I get from cosacoshb-isinasinhb=4 to 2m(pi)+/- iarccosh4 arcsin4 = a + b i ---> 4 = sin(a + bi) sin(a + bi) = sin(a)cos(bi) + cos(a)

    asked by Jake on January 14, 2007
  18. Calculus...

    How can I use the "angle addition formula" and the formula "limit of x approaching 0 of sin(x)" to show that the limit of x approaching 0 sin(a+x) = sin(a) for all a?

    asked by Shelli on September 20, 2007
  19. math

    Prove that for all real values of a, b, t (theta): (a * cos t + b * sin t)^2

    asked by mathstudent on December 19, 2006
  20. calculus

    Recall that a function G(x) has the limit L as x tends to infinity, written lim(x->infinity)G(x) = L, if for any epsilon > 0, there exists M >0 so that if x > M, then |G(x) − L| < epsilon. This means that the limit of G(x) as x tends to infinity does not

    asked by Anna on July 31, 2011
  21. CALCULUS LIMITS

    What is the following limit? lim as n goes to infinity of (pi/n) (sin(pi/n) + sin(2pi/n) + sin(3pi/n) +...+ sin(npi/n)) = I.) lim as n goes to infinity sigma (n and k=1) of pi/n sin(kpi/n) II.) Definite integral from 0 to pi of sin(x)dx III.) 2 A.) I only

    asked by ANONYMOUS on May 31, 2012
  22. Calculus

    What is the following limit? lim as n goes to infinity of (pi/n) (sin(pi/n) + sin(2pi/n) + sin(3pi/n) +...+ sin(npi/n)) = I.) lim as n goes to infinity sigma (n and k=1) of pi/n sin(kpi/n) II.) Definite integral from 0 to pi of sin(x)dx III.) 2 A.) I only

    asked by Anonymous (Please Help) on May 31, 2012
  23. CALCULUS

    What is the following limit? lim as n goes to infinity of (pi/n) (sin(pi/n) + sin(2pi/n) + sin(3pi/n) +...+ sin(npi/n)) = I.) lim as n goes to infinity sigma (n and k=1) of pi/n sin(kpi/n) II.) Definite integral from 0 to pi of sin(x)dx III.) 2 A.) I only

    asked by ANONYMOUS on May 31, 2012
  24. calculus

    Recall that a function G(x) has the limit L as x tends to infinity, written lim(x->infinity)G(x) = L, if for any epsilon > 0, there exists M >0 so that if x > M, then |G(x) − L| < epsilon. This means that the limit of G(x) as x tends to infinity does not

    asked by amber on August 1, 2011
  25. math

    The scientists Verhulst (1828) where is the natural growth rate of the population when resources are limited and is a positive constant called carrying capacity of the environment. (a) Using sign analysis, find all constant solution and discuss the general

    asked by josh on November 6, 2008
  26. Calculus

    True or false. 1. If f(x) has a vertical asymptote at x=a, then the limit of f(x) as x --> a from the left is negative infinite and the limit of f(x) as x--> a from the right is positive infinite. I think this is true. Take for instance, a rational

    asked by Anonymous on August 26, 2015
  27. Calculus

    Evaluate the limit. The limit as x approaches 0 of (x-sin(x))/(x-tan(x))

    asked by Michael on March 21, 2012
  28. TRIG!

    Posted by hayden on Monday, February 23, 2009 at 4:05pm. sin^6 x + cos^6 x=1 - (3/4)sin^2 2x work on one side only! Responses Trig please help! - Reiny, Monday, February 23, 2009 at 4:27pm LS looks like the sum of cubes sin^6 x + cos^6 x = (sin^2x)^3 +

    asked by hayden on February 23, 2009
  29. Calculus 2

    If n is a positive integer, prove that integral[(lnx)^ndx=((-1)^(n))*n!](lower limit=0, upper limit=1) Thanks Again,

    asked by Hector on July 23, 2008
  30. Trignometry

    The angles in triangle ABC satisfy 6sin∠A=3√(3)sin∠B=2√(2)sin∠C. If sin^2∠A=a/b, where a and b are coprime positive integers, what is the value of a+b?

    asked by Stranger on March 18, 2013
  31. math

    How to solve for delta using trig functions? i.e. cosine sine tangent secant Thank you I'm not sure what delta you're referring to. Could you please elaborate some for us. What is it you're trying to do with the trig funtions? the problem is.. limit sec

    asked by Kali on September 6, 2006
  32. math

    sin 30degrees cos 240degrees + sin 210degrees sin 300degrees. -1/4 + sqrt3/4 what is the last step ?? the negative and positive signs confuse me ??

    asked by Anonymous on February 3, 2011
  33. calculus

    Evaluate these limits. (Enter answer as a decimal. Enter INF if the limit is +∞; -INF if the limit is −∞; and DNE if the limit is neither ±∞ and does not exist.) (a) limx→04+x−−−−−√−2x= - sin responder (b) limx→0tan(2x)sec(3x)x

    asked by JuanPro on August 12, 2015
  34. HS Calculus

    1) Limit theta approaching zero sin squared theta/ tan theta 2) Lim x appraoches zero x + sin x/x x + sin x/x = x/x + sinx/x 0 + 1 =1 My answer : 1 Is this correct

    asked by jane on November 3, 2008
  35. HS Calculus

    1) Limit theta approaching zero sin squared theta/ tan theta 2) Lim x appraoches zero x + sin x/x x + sin x/x = x/x + sinx/x 0 + 1 =1 My answer : 1 Is this correct

    asked by jane on November 3, 2008
  36. Math/calc

    an electric current I , in amps is given by: I= cos(wt) + sqrt of 3 sin(wt) where w is positive constant. what are the max and minimum values of I?

    asked by Jolly :) on March 30, 2010
  37. Calculus

    1.) Find the equation of the line that is tangent to the graph of y-y^3 at x=1. 2.) lim x->0 ((sin x*cos 2x)/3x) 3.) Show, using the squeeze theorem, that the limit of Xe^(sin 1/x) as x->0 is 0.

    asked by Amber on January 25, 2015
  38. math/calculus

    an electric current I , in amps is given by: I= cos(wt) + sqrt of 3 sin(wt) where w is positive constant. what are the max and minimum values of I? *please be specific

    asked by miley on March 30, 2010
  39. Calculus-limits

    What is the limit as x approaches a of (sinx-sin a)/(x-a)? a. -sin a b. cos a c. -sin x d. cos x e. undefined Thanks!

    asked by ashley on April 29, 2015
  40. Calc

    Use a graph to estimate the limit: lim θ->0 (sin(5θ)/θ) Note: θ is measured in radians. All angles will be in radians in this class unless otherwise specified. I tried graphing it on my calculator but the limit I got is incorrect.

    asked by Josie on January 25, 2011
  41. limits

    what is the derivative of e^(3*ln(x^2)) i keep getting 6/x * e^(3*ln(x^2)) but that's not one of the multiple choice so am i doing something wront. also, what is the limit of (1-cosx)/(2*(sinx)^2) as x approaches zero. is the answer zero or nonexistent The

    asked by david on December 9, 2006
  42. limits

    use f'(x)=lim h-->0 f(x+h)-f(x)/h to find the limit: h-->0 sin^3,4(x+h)-sin^3,4x/h

    asked by Cassy on March 23, 2010
  43. trigonometry (please double check this)

    Solve the following trig equations. give all the positive values of the angle between 0 degrees and 360 degrees that will satisfy each. give any approximate value to the nearest minute only. 1. sin2Į = (sqrt 3)/2 2. sin^2Į = cos^2Į + 1/2 3. sin 2x

    asked by anon on March 3, 2011
  44. tigonometry

    expres the following as sums and differences of sines or cosines cos8t * sin2t sin(a+b) = sin(a)cos(b) + cos(a)sin(b) replacing by by -b and using that cos(-b)= cos(b) sin(-b)= -sin(b) gives: sin(a-b) = sin(a)cos(b) - cos(a)sin(b) Add the two equations:

    asked by Pablo on November 26, 2006
  45. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin

    asked by George on September 9, 2008
  46. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that (1) sin (1/x)=0 {Hint: Use the fact that sin(pi) = sin(2pi)=sin(3pi)=...=sin(npi)=0} (2) sin (1/x)=1 {Hint: Use the fact that sin(npi)/2)=1 if n= 1,5,9...} (3) sin

    asked by George on September 9, 2008
  47. calculus

    Consider the curves y = x^2and y = mx, where m is some positive constant. No matter what positive constant m is, the two curves enclose a region in the first quadrant.Without using a calculator, find the positive constant m such that the area of the region

    asked by John on March 4, 2012
  48. maths

    Choose the option that gives an expression for the indefinite integral ʃ (cos(4x) + 2x^2)(sin(4x) − x) dx. In each option, c is an arbitrary constant. Options A cos(4x) + 2x^2 +c B -1/8cos(4x) + 2x^2)^2 +c C 1/4 (sin(4x) − x)^2 + c D (1/(2 (sin(4x)

    asked by albert on May 11, 2011
  49. URGENT HELP: calculus - limits at inifinity

    1.The efficiency of an internal combustion engine is: efficiency (%) = 100 [1 - (1/(x/y)^c)] where x/y is the ratio of the uncompressed gas to the compressed gas and C is a positive constant dependent on the engine design. Find the LIMIT of the efficiency

    asked by Anonymous on December 13, 2007
  50. algebra

    Can someone please help me do this problem? That would be great! Simplify the expression: sin theta + cos theta * cot theta I'll use A for theta. Cot A = sin A / cos A Therefore: sin A + (cos A * sin A / cos A) = sin A + sin A = 2 sin A I hope this will

    asked by Valerie on February 18, 2007
  51. math

    The scientists Verhulst (1828) and Peal (1930) proposed the following growth model for a population living in an environment with limited resources (e.g. space, food, sunlight, etc): = , where is the natural growth rate of the population when resources are

    asked by josh on November 6, 2008
  52. Trigonometry

    I have some trigonometric equations to do, but I'm pretty lost, and I have to get them done in a timely fashion, so any help would be much appreciated. "Solve the following trig equations. Give all the positive values of the angle between 0 degrees and 360

    asked by Gary on March 9, 2011
  53. Quantum mechanics, eigenfunctions!

    Determine if the function sin(x)*e^(ax) where a=constant is an eigenfunction of the operators d/dx and d^2/(dx)^2 Okay. My understanding is that you use the operator and perform its "thing" on the function. In this case, you will have to find the 1st

    asked by Steven on October 8, 2009
  54. Precalculus

    sin^2(2x)=2sinxcosx. Find all solutions to each equation in the interval [0, 2pi) So I started off changing 2sinxcosx = sin(2x), and my equation ended as sin^2(2x) = sin(2x). I subtracted sin(2x) by both sides and factored out sin(2x). my equation ended

    asked by Anonymous on December 11, 2019
  55. calculus-limits??

    i keep on doing something wrong on this problem,i guess im forgetting to add or subtract some number. use f'(x)=lim h-->0 f(x+h)-f(x)/h to find the limit: lim h-->0 sin^(3)4(x+h)-sin^(3)4x/h

    asked by JJ on March 24, 2010
  56. Calculus

    Use the graph to estimate the limit: lim x->0 sin(3x)/x When x is in degrees lim x->0 sin(3x)/x = ________ I thought the the answer was (3*180)/pi but it's not... please help... Thanks

    asked by Abi on February 9, 2011
  57. Integration by Parts

    integral from 0 to 2pi of isin(t)e^(it)dt. I know my answer should be -pi. **I pull i out because it is a constant. My work: let u=e^(it) du=ie^(it)dt dv=sin(t) v=-cos(t) i integral sin(t)e^(it)dt= -e^(it)cos(t)+i*integral cost(t)e^(it)dt do integration by

    asked by Ashley on April 16, 2015
  58. Calculus

    Can you please help me get the solution to this limit without using squeeze theorem and l'hopitals rule lim x to 0 of x^3 sin(1/x) lim x to 0 of x^2 sin^2(1/x)

    asked by Liv on January 11, 2017
  59. Calculus

    How do I find the limit of (1+sin(pi times x))^(1/x) as x approaches 0? I tried using wolframalpha, but am unable to understand their steps. My thinking is that you set y=the limit and use L'hopital's rule a couple times. The answer I got was y=e^0--->y=1,

    asked by W on January 19, 2012
  60. Calculus

    Use a Riemann sum with n = 3 terms and the right endpoint rule to approx. ∫(1, 2) sin(1/x)dx. My teacher just needs the terms written out, no need to add or multiply. This is a problem she did up on the board, so here's her answer: sin(4/3)(1/3) +

    asked by Justin on November 4, 2015
  61. Trigonometry

    Solve the equation for solutions in the interval 0

    asked by Renee on March 7, 2016
  62. trig help much appreciated! :))

    1. Find the complete exact solution of sin x = . 2. Solve cos 2x – 3sin x cos 2x = 0 for the principal value(s) to two decimal places. 3. Solve tan2 x + tan x – 1 = 0 for the principal value(s) to two decimal places. 4. Prove that tan2  – 1 + cos2 

    asked by suzy on August 16, 2013
  63. Trigonometry

    Given that sin(2θ)=2/3, the value of sin^6θ+cos^6θ can be written as a/b with a and b as coprime positive integers. Find a+b.

    asked by Shin on May 27, 2013
  64. Digital Circuits

    which is the primary purpose of a resistor in series with a led being driven by a flip-flop a. Limit voltage b. Limit current c. Limit speed d. Limit power

    asked by Makaila on May 31, 2015
  65. Calculus

    Consider the function f(x)=sin(1/x) Find a sequence of x-values that approach 0 such that sin (1/x)=0 sin (1/x)=1 sin (1/x)=-1 Is sin sin (1/x)=0 and sin (1/x)=-1 does not exist. What is sin (1/x)=1 then.

    asked by George on September 8, 2008
  66. pleeaasee hellpp!!

    A and B are positive acute angles. If sin A=(3/5) and cosB= (12/13) find the value of sin (A+B)

    asked by Please Answer :) on May 26, 2010
  67. math (trig)

    Find sin(x/2) if sin(x)= -0.4 and 3pi/2 < or equal to (x) < or equal to 2pi Let's use cos 2A = 1 - 2sin2 A and we can match cos x = 1 - 2sin2 (x/2) so we will need cos x we know sin x = -.4 and x is in the fourth quadrant, so the cosine will be positive.

    asked by aziiancaligirl on July 15, 2007
  68. Physics

    Which of the following statements are TRUE? Choose all that apply. [HINT: The statements that are false should contradict themselves or a definition.] 1. An object can simultaneously be moving and have zero velocity. 2. An object can simultaneously have

    asked by Cameron Lawrence on August 29, 2018
  69. Mathematics-Integration

    Question: For any positive integer n,show that integrate.[(sin x)^2n dx ] from o - π/2 = [(2n)!*π]/[(2)^(2n+1)*(n!)^2 ] What I thought: Let I =int.[(sinx)^2n dx] And again I= int.[ (sin(π/2-x))^2n dx] = int.[ (cos)^2n dx] 2I= int.[(sin x)^2n + (cos

    asked by Shenaya on June 12, 2017
  70. Maths

    Question : Integrate [x/(1+(sin a*sin x))] from 0 to pi My first thought was to apply integrate f(x) dx= f(a-x) dx method Which simplified the integral into; 2I = integrate [pi/(1+(sin a*sin x))] dx , cancelling out x Then I made the integral into the form

    asked by Ashley on March 18, 2019
  71. math

    If tan^2(t) - sin^2(t) = sin^a(t)\cos^b(t), then the positive power a = the positive power b =

    asked by tyler on April 7, 2013
  72. Differential Equations

    Solve dy/dx = [ sin(2x+y)/cos(2x+y) ] - 2 and show that sin(2x+y) = e^x is a solution of the above if y(0)=pi/2 I solved the above DE using 2x+y= u substitution to get , ln (sin(2x+y)) - x - c = 0 ; where c is an arbitrary constant. How do solve the next

    asked by Aryaa on October 22, 2019
  73. Physics

    particle A moves along the line y = 30m with a constant velocity of magnitude 3.5 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with 0 initial speed and constant acceleration of magnitude 0.50

    asked by James on September 30, 2012
  74. math

    Eliminate the parameter (What does that mean?) and write a rectangular equation for (could it be [t^2 + 3][2t]?) x= t^2 + 3 y = 2t Without a calculator (how can I do that?), determine the exact value of each expression. cos(Sin^-1 1/2) Sin^-1 (sin 7pi/6)

    asked by Anonymous on August 3, 2007
  75. math

    The scientists Verhulst (1828) and Peal (1930) proposed the following growth model for a population living in an environment with limited resources (e.g. space, food, sunlight, etc): = , where is the natural growth rate of the population when resources are

    asked by josh on November 6, 2008
  76. Maths

    So there is this question I've been trying to work out, but couldn't come up with a positive answer. Any help on this is highly appreciated. Question : If n,a,b are constants and p is a vector : p=a cos nt + b sin nt. Prove that p*dp/dt=na*b So I worked

    asked by Ashley on August 12, 2019
  77. Calc: Limits

    how to calculate the limit: *I got confused especially with the square root. 1. lim as x approaches 2 (squareroot x^2 +5)-3 / (x-2) 2. lim as θ (theta) approaches zero (tan^2 (5θ) / (sin (3θ) sin (2θ) )

    asked by A on January 29, 2018
  78. Calculus

    Hello, Could somebody kindly check my answer for the following question? Find the derivative of the following function: h(x)=3e^(sin(x+2)) h'(x)=3'(e^(sin(x+2))+3(e^(sin(x+2))' h'(x)=0(e^(sin(x+2))+3(e^(sin(x+2))(cos(1)) h'(x)=3cos1(e^(sin(x+2)) I would

    asked by Constantine on August 18, 2015
  79. math

    1.integral cos(x)sqrt(sin(x))dx. upper limit pi and lower limit 0 2.integral 1/sqrt(x)(sqrt(x) +1)^2. Upper limit is 4 and lower limit is 1.

    asked by Carl on September 10, 2018
  80. Geometry

    Let ƒÆ=sin −1 7 25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

    asked by Jacob on April 11, 2013
  81. Geometry

    Let ƒÆ=sin −1 7 25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

    asked by stranger on April 11, 2013
  82. Geometry(first one is typo)

    Let ƒÆ=sin −1 7/25 . Consider the sequence of values defined by a n =sin(nƒÆ) . They satisfy the recurrence relation a n+2 =k 1 a n+1 +k 0 a n ,n¸N for some (fixed) real numbers k 1 ,k 0 . The sum k 1 +k 0 can be written as p q , where p and q are

    asked by stranger on April 11, 2013
  83. newton's method

    the iteration formula x_(n+1)=x_(n) - (cos(x_(n)))(sin(x_(n))) + R(cos(x_(n))^2)x_n, where R is a positive constant, was obtained by applying Newton's Method to some function f(x). What was f(x)? What can this formula be used for?

    asked by Julie on September 28, 2008
  84. Mathematics - Trigonometric Identities

    Let y represent theta Prove: 1 + 1/tan^2y = 1/sin^2y My Answer: LS: = 1 + 1/tan^2y = (sin^2y + cos^2y) + 1 /(sin^2y/cos^2y) = (sin^2y + cos^2y) + 1 x (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y + cos^2y) (cos^2y/sin^2y) = (sin^2y + cos^2y) + (sin^2y +

    asked by Anonymous on November 8, 2007
  85. Calculus

    limit of ((sin 3x)/x) as x approaches 0

    asked by Ana on September 15, 2009
  86. Calculus

    limit of (x+sin(x))/x, as x approaches 0

    asked by Anonymous on January 25, 2012
  87. Calculus

    (2x + sin x)/x What is the limit as x approaches zero?

    asked by Anonymous on August 19, 2015
  88. Calculus

    Find limit as x->-3 of (sin(4x+12))/(5x+15)

    asked by Lindsay on December 2, 2013
  89. calculus

    show limit x to 1 (x^2)sin(1/(x-1)) = 0

    asked by confuzzled on October 19, 2010
  90. calculus

    show limit x to 1 (x^2)sin(1/(x-1)) = 0

    asked by confuzzled on October 19, 2010
  91. Calc

    Limit as x approaches +∞ of x sin (1/x)

    asked by Erica on January 18, 2011
  92. calculus

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    the limit (h->0) of (sin^2(3x + 3h) - sin^2(3x))/(h) is....

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    find the limit of lim sin(x-1)/(x^2 + x - 2) x->1

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  100. calculus

    Find the limit lim x ->0 (sin^2 2x)/(x^2)

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