Evaluate cot@/cot@-cot3@ + tan@/tan@-tan3@

7,422 results
  1. Precalc?

    Suppose that Cot(theta) = c and 0

  2. Trig

    Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4). (0 is not the number zero I don't know what its called) I have to find r first. r=sqrt x^2+y^2 r=sqrt -5^2+-4^2 r=sqrt 41

  3. Math

    Find the values of the six trigonometric functions of θ. (If an answer is undefined, enter UNDEFINED.) Function Value: csc(θ) = 4 Constraint: cot(θ) < 0 1) sin(θ)= 2) cos(θ)= 3) tan(θ)= 4) csc(θ)= 5) sec(θ)= 6) cot(θ)=

  4. Precalculus

    Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment lengths that equal

  5. Trigonometry

    Verify the identity algebraically. TAN X + COT Y/TAN X COT Y= TAN Y + COT X

  6. Pr-Cal/Trig

    1)if the graph of f(x)=cotx is transformed by a horizontal shrink of 1/4 and a horizontal shift left pi, the result is the graph of: a) g(x)= cot[1/4(x-pi)] b) g(x)=cot[1/4(x+pi)] c) g(x)=cot[4(x-pi)] d) g(x)=cot[4(x+pi)] e) g(x)=cot[4x+pi] please include

  7. math

    If sinθ=7/13 and cosθ=12/13 find tan θ and cot θ Use Pythagorean Identities to find sin θ and tan θ if cos θ =-24/25 if the terminal side of θ lies in the third quadrant.

  8. math

    Find the values of the trigonometric function cot -8/17 sin: sec: tan: cot: I know you use a Pythagorean Identity, sin^2t + cos^2t=1 I got 64/289 for the first one for example and it was wrong.

  9. Math

    What is a simplified form of the expression [sec^2x-1]/[(sinx)(secx)]? a. cot x b. csc x c. tan x***** d. sec x tan x I think this is the correct answer, but I do not understand why. Can someone please explain?

  10. Math

    Factorthen use fundamental identities to simplify the expression below and determine which of the following is not equivalent cot^2 a * tan^2 a + cot^2 a A. csc^ 2 alpha B.1/ sin^ 2 alpha C.1/ 1-cos^ 2 alpha D.sec^ 2 alpha E.1+cot^ 2 alpha

  11. Inverse trigonometry

    Prove that- tan^-1(1/2tan 2A)+tan^-1(cotA)+tan^-1(cot^3A) ={0,ifpi/4

  12. Trigonometry

    Someone please help!!!? 7. What is 1/cot(x) in terms of sine? This is what I've got so far: sin = 1/csc tan = 1/cot 1+cot2(x) = csc2(x) 1/1+cot2(x) = 1/csc2(x)

  13. Math

    tan(4x − 4)° = cot(3x + 10)°

  14. Math

    Justin wants to evaluate 3cot(-5pi/4). Which of the following identities can he use to help him? Select two answers. cot(-theta) = cot(theta) cot(-theta) = -cot(theta) cot(-theta) = cot(-theta) cot(theta + pi) = cot(theta) cot(theta + 2pi) = cot(theta)

  15. math

    Determine the values of sin, cos, tan, csc, sec and cot at (-3, -3) on the terminal arm of an angle in standard position 2. If cos θ = 2/3 and 270° < θ < 360° then determine the exact value of 1/cot

  16. Pre-calculus help

    I have two problems I am stuck on, if you could show me how to solve the problems it would be much appreciated. 1) Find sin 2x, cos 2x, and tan 2x from the given information. tan x = − 1/6, cos x > 0 sin 2x = cos 2x = tan 2x = 2) Find sin 2x, cos 2x, and

  17. Trigonometry

    Please review and tell me if i did something wrong. Find the following functions correct to five decimal places: a. sin 22degrees 43' b. cos 44degrees 56' c. sin 49degrees 17' d. tan 11degrees 37' e. sin 79degrees 23'30' f. cot 19degrees 0' 25'' g. tan

  18. Trig

    Use the fundamental identities to simplify the expression: cot beta sec beta I used 1+tan^2u=secu since cot is the inverse of tan. I flipped the tangent, then so it was 1+ (1/tan). But the book's answer is the cosecant of beta. Where did this come from??

  19. TRIG..............

    Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx (ii) (1+cotx+tanx)(sinx-cosx)/sec^3x-cosec^3x = sin^2xcos^2x.

  20. math

    tan/1-cot +cot/1-tan =1+sec cosec

  21. Math

    Factor; then use fundamental identities to simplify the expression below and determine which of the following is not equivalent cot^2 a * tan^2 x + cot^2 a

  22. Math:)

    1. Simplify the expression. [csc^2(x-1)]/[1+sin x] a. csc x+1 b. csc x(csc x-1) c. sin^2 x-csc x**** d. csc^2 x-cos xtan x 2. Which of the following expressions can be used to complete the equation below? sec x/1+cot^2 x a. tan x b. tan^2 x c. tan x cos x

  23. Math - Trig

    I'm trying to verify these trigonometric identities. 1. 1 / [sec(x) * tan(x)] = csc(x) - sin(x) 2. csc(x) - sin(x) = cos(x) * cot(x) 3. 1/tan(x) + 1/cot(x) = tan(x) + cot(x) 4. csc(-x)/sec(-x) = -cot(x)

  24. math;)

    Julia wants to simplify the term sec^2 theta-1/cot^2 theta+1 in a trigonometric identity that she is proving. Which of the following identities should use to help her? Select all that apply. (2 ANSWERS) a. sin^2 theta+cos^2 theta=1 b. sec^2 theta-tan^2

  25. trig

    prove the identity sec^2x times cot x minus cot x = tan x

  26. Trigonometry need help!!!

    need help don't understand how to do this.... 1.Verify the identity cot(θ-( π/2)= -tan θ 2. Verify the identity tan θ + cot θ =1/sin θ cosθ

  27. Pre-Calculus

    A.Verify the identity. B.Determine if the identity is true for the given value of x. Explain. [cot(x) – 1] / [cot(x) + 1] = [1 – tan(x)] / [1 + tan(x)], x = π/4 I solved A and I believe it's true; however, I need help with B.

  28. trigonometric function

    If sinA=12/13 & tan B=3/4 then find ¡= sin(A+B) ¡¡=COS(A-B) ¡¡¡=COT(A-B) ¡v=cot(A-B) Sir please give me the correct ans because tomorrow is my class

  29. trig

    evaluate tan(51 degree 15')+cot(25 degrees 18')

  30. pre-calc

    Can someone help me find the exact value of 4csc(3pi/4)-cot(-pi/4)? Thanks! cotx =1/tanx cscx = 1/sinx If you find it easier to conceptualize in degrees, realize that pi/4 radians is 45º and 3pi/4 is then 135º If you know the CAST rule, it is easy to see

  31. Calculus

    Find the derivative of y=cot³(1-2x)² y'=3[cot(1-2x)²]² (-csc²(1-2x)²)(2-4x)(-2) y'=(-6+24x)[cot(1-2x)²]²(-csc²(1-2x)²) How do you simplify further?

  32. math

    given that tan 4pi/7 = 5.6513, determine the following a (cot)pi/18 b (tan)13pi/9

  33. calculus

    let x+y=tan y. show that y"=-2[cot^5y+cot^3y]

  34. trigonometry

    Express as a function : c.tan (810degrees + theta ) I'm confused between two answers . 1. that it would be tan 90 deg (which is undefined) 2. it would be cot theta ?? can you tell me what i should do to get the right answer.

  35. Math

    Evaluate these problems: 1.) Sin=1/7 Find csc= 2.) tan=2/3 Find cot=

  36. Math (Trig)

    sorry, another I can't figure out Show that (1-cot^2x)/(tan^2x-1)=cot^2x I started by factoring both as difference of squares. Would I be better served by writing in terms of sine and cosine? Such as: [1-(cos^2x/sin^2x)]/[(sin^2x/cos^2x)-1]=(cos^2x/sin^2x)

  37. Math

    What is a simplified form of the expression sec^2x-1/sin x sec x ? a)cot x b)csc x c)tan x d)sec x tan x Please help me :(

  38. pre calculus

    Cot 495 degrees... a) -tan 135 degrees b) -cot 135 degrees c) cot 135 degrees d) -cot 315 degrees

  39. Math

    Evaluate cot@/cot@-cot3@ + tan@/tan@-tan3@

  40. Pre Cal

    could someone please tell me what the other angle identity of tan is? Thank you much! "...other angle identity of tan x"? in relation to which "other" ? there are many identities dealing with the tangent. The most important is probably tan x = sin x/cos x

  41. math

    how do I simplify these? 1. (Cot/1-tan) + (Tan/1-Cot) - Tan - Cot 2. (1+cos) (csc-cot)

  42. PreCalculus

    Hi I need some assistance on this problem find the exact value do not use a calculator cot[(-5pi)/12] Here is my attempt RT = square root pi = 3.14...

  43. Math

    Are these correct? 5. is sin θ = -7/13 and cos θ = 12/13, find tan θ and cot θ using Quotient Identities. answers: tan (θ) = -(7/12) cot (θ) = -(12/7)

  44. verifying identities

    how do you veriy tan x + Cot y -------------- = tan y + cot x 1-tan x cot y sin^4x + cos^4x = 1- 2cos^2x + 2cos^4

  45. trigonometry...........

    Prove the following identity:- (i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx

  46. Math

    Simplify the follow)ing to the simplest form (tan(x) +cot(x))/ (tan(x)*cot(x))

  47. math

    prove (tan^3x/1 tan^2x) (cot^3x/1 cot^2) = (1-2sin^2x cos^2x)/sinx cosx

  48. trigonometry repost

    Reduce (csc^2 x - sec^2 X) to an expression containing only tan x. (is this correct?) csc x = 1/sin x sec x = 1/cos x tan x = 1/cot x sin^2 x + cos^2 x = 1 1 + cot^2 x = csc^2 x tan^2 x + 1 = sec^2 x csc^2 x - sec^2 x = 1 + cot^2 x - (1 + tan^2 x) = cot^2

  49. Math

    Solve and prove the identity (tan x+ cot (-x))/ (tan x - cot(-x))= 1-2cos^2(x)

  50. Trigonometry

    How do you simplify these equations: 1.)(2/cot^3(x) - cot^2 (x)) + (2/cot (x)-2) 2.) (2/ tan^2 (x)) + (2/ tan(x) -2)

  51. Trig/Precalc

    Two questions that I would really appreciate some hints on: 1) Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation for a common external tangent can be written in the form y=mx+b with 0

  52. algebra 2

    Please show how to do these problems so i understand. 1)Prove that sin^2 x (1+cot^2 x)=1 2)Prove that tan x (cot x+tan x)=sec^2 x

  53. algebra 2

    Please show how to do these problems so i understand. 1)Prove that sin^2 x (1+cot^2 x)=1 2)Prove that tan x (cot x+tan x)=sec^2 x

  54. Math - Trigonometry

    Verify the following: 1. cos x/(1-sinx)= sec x + tan x 2. (tanx+1)^2=sec^2x + 2tan x 3. csc x = )cot x + tan x)/sec x 4. sin2x - cot x = -cotxcos2x

  55. I dont think drawing a picture will help me drwls

    Which expression is equivalent to tan theta-sec theta/sin theta? A)-cot theta B)cot theta C)tan theta-cot theta D)tan theta-sec^2theta just tell me what I need to know to set it up

  56. math

    use the quotient and reciprocal identities to simplify the given expression cot t sin t csc t sin t tan t cot t cot t sec t

  57. TRIGONOMETRY *(MATHS)

    Q.1 Prove the following identities:- (i) tan^3x/1+tan^2x + cot^3x/1+cot^2 = 1-2sin^x cos^x/sinx cosx (ii) (1+cotx+tanx)(sinx-cosx)/sec^3x-cosec^3x = sin^2xcos^2x.

  58. trig

    Which expression is equivalent to tan theta - sec theta/sin theta? A)-cot theta B)cot theta C)tan theta-cot theta D)tan theta-sec^2theta

  59. calculus

    Evaluate the limit as x approaches 0 of [tan(x+Δx)-tan(x)] /Δx: sec^ 2 (x) cot (x) sec (x) does not exist

  60. trigonometry

    How do you find: cot(-5pie/4)? you have to know that cotx = 1/tanx so you could just trustfully change your calculator to radians enter 5*pi/4, press =, press +/-, then press Tan, =, then the 1/x key you should get -1 or... you could do it the more

  61. trig

    I do not understand these problems. :S I'd really appreciate the help. Use trigonometric identities to transform the left side of the equation into the right side. cot O sin O = cos O sin^2 O - cos^2O = 2sin^2 O -1 (tan O + cot O)/tan O = csc^2 O

  62. Math

    1)Find cos theta if sin theta=3/5 and 90 degrees

  63. Math

    What is the first step. Explain please. Which expression is equivalent to cos^2x + cot^2x + sin2^x? a) 2csc^2x b) tan^2x c) cot^2x d) csc^2x cos^2x + cot^2x + sin2^x

  64. trig

    If 2tanA+cot A=tan B, then prove that 2tan(B-A)=cot A

  65. math

    how do I simplify this? 1. (Tan ө + cos ө)/ (sec ө + cot ө) 2. (Tan ө + cot ө)/ sec ө

  66. Trigonometry

    evaluate cot 2x = 5/12 with 0

  67. math

    Verify: tan^2a=cot^2a-cot^2acsc^2a

  68. Math-Trig

    1. Create an algebraic expression for sin(arccosx-arcsin3x) 2. The cosx=4/5, x lies in quadrant 4. Find sin x/2 3.Determine all solutions in (0,2pie) for sin4xsin^2x=3, cot^2v(3-1)cotx=v(3), cos^2x=cosx, and tan^2x-6tanx+4=0 4. Solve; sin(∏/2-x)=1/sec 5.

  69. Trig

    Evaluate tan(a-b). No decimals. Only exact answer. Sin a = -7/25, cot b = -8/15 neither a nor b are in quadrant IV.

  70. Trig

    Evaluate tan(a-b). No decimals. Only exact answer. Sin a = -7/25, cot b = -8/15 neither a nor b are in quadrant IV.

  71. Trigonometry

    Could someone please help me with the following q's I'm having some trouble: 1.) cot θ (theta) = 0.791, find sec θ and tan θ 2.) tan θ = 9/40, what is the value sin^2θ + cos^2θ

  72. trigonometry

    Can you draw the ans. To make it clear to me , please? Establish identity: tan∅ + cot∅ -------------- = csc²∅ tan∅

  73. maths

    If cot¤=7/8,find sin¤, Cos¤,Tan¤,Cosec¤,Tan¤

  74. Grd 12 Math

    Can someone please help me work out how to get to the answer of: tanx + tan (pi-x) + cot (pi/2+x) = tan (2pi-x)

  75. maths

    If cot¤=7/8,find sin¤, Cos¤,Tan¤,Cosec¤,Tan¤

  76. Math

    Which of the following are inverse functions? 1. Arcsin x and sin x 2. cos^-1 x and cos x 3. csc x and sin x 4. e^x and ln x 5. x^2 and +/- sqrt x 6. x^3 and cubic root of x 7. cot x and tan x 8. sin x and cos x 9. log x/3 and 3^x I believe the answers are

  77. math (repost)

    Which of the following are inverse functions? 1. Arcsin x and sin x 2. cos^-1 x and cos x 3. csc x and sin x 4. e^x and ln x 5. x^2 and +/- sqrt x 6. x^3 and cubic root of x 7. cot x and tan x 8. sin x and cos x 9. log x/3 and 3^x I believe the answers are

  78. precalculus

    For each of the following determine whether or not it is an identity and prove your result. a. cos(x)sec(x)-sin^2(x)=cos^2(x) b. tan(x+(pi/4))= (tan(x)+1)/(1-tan(x)) c. (cos(x+y))/(cos(x-y))= (1-tan(x)tan(y))/(1+tan(x)tan(y)) d.

  79. Math

    There are no typos and no work b/c I don't know how to do them. Thanks. 1)Find cos theta if sin theta=3/5 and 90 degrees

  80. math

    This is the problem given: The side of a hill faces due south and is inclined to the horizontal at an angle alpha. A straight railway upon it is inclined at an angle beta to the horizontal. If the bearing of the railway is gamma east of north, show that

  81. math

    prove cot x -tan x = 2 cot 2x

  82. Maths

    1+tan^2(theta) divided by 1+cot^2(theta) is equal to (1-tan(theta)}^2 divided by {1-cot(theta)}^2 plese prove it in details. Please help me

  83. math

    1. (Tan ө + cos ө)/ (sec ө + cot ө) 2. (Tan ө + cot ө)/ sec ө

  84. maths

    Please I need help.Show full working out. (a) sin x cot x= cos x (b) (1 + tan theta)^2 + (1- tan theta)^2 = 2sec^2theta

  85. math

    Find the exact value of each trigonometric function. sin(θ)= 3/5 cos(θ)= 4/5 tan(θ)= 3/4 1. cos(2θ)= 2. tan(2θ)= 3. cot(2θ)= 4. sec(2θ )= 5. csc(2θ)=

  86. trig

    please help me with some questions I skipped on a review for our test coming up? solve 5-7 on the interval 0 greater than or equal to x less than or equal to 2pi. 5. sin x=sqrt3/2 6. cos x=-1/2 7. tan x=0 ---------------- 14. what is the exact value of

  87. math

    1) Determine the quadrant in which Q lies. a) sec Q > 0 and cot Q < 0 I know that sec is in quadrant 4 and cot is in 3. Now how do I find the quadrant? b) csc Q < 0 and tan Q > 0 csc is in quadrant 2 and tan is 3.

  88. math

    cot^-1(2tan(cos^-18/17))+tan^-1(2tan(sin^-18/17))=tan^-1300/161

  89. Trigonometry

    1.Solve tan^2x + tan x – 1 = 0 for the principal value(s) to two decimal places. 6.Prove that tan y cos^2 y + sin^2y/sin y = cos y + sin y 10.Prove that 1+tanθ/1-tanθ = sec^2θ+2tanθ/1-tan^2θ 17.Prove that sin^2w-cos^2w/tan w sin w + cos w tan w =

  90. Trigonometry

    Find the exact value of tan(a-b) sin a = 4/5, -3pi/2

  91. trigometric identities

    Establish identity: tan theta + cot theta -------------------- equal to(=) csc²theta tan theta Can you draw the ans. bec. I cant understand which they are aligned.

  92. Trig

    Simplify: csc A - sin A - Cot A Cot A Csc A 1/sin - sin A - 1/tan 1/tan 1/sin -sinA?

  93. Trig

    cot (tan + cot) = ?

  94. Trigonometry

    Equation 1: (tan^2x)/(cos^2x)+sec^2x+csc^2x=sec^4x+csc^2x*cos^2x+1 Equation 2: (csc^2x*(sin^4x+cos^2x))/(cos^2x)-cos^2x = tan^2x*csc^2x+cot^2x+sin^2x-1 Equation 3: tan^2x*sin^2x - (cot^2x)/(csc^2x) = -(sin^2x*cot^2x)/(csc^2x)- cos^4x Do the following for

  95. math

    There are no typos and no work b/c I don't know how to do them. Thanks. 1)Find cos theta if sin theta=3/5 and 90 degrees

  96. Math

    (1+tan(x))* (1+cot(-x))

  97. Trigonometry Help

    4 tan x - 12 cot x = 0

  98. trig

    If cot x = .78, what is tan x?

  99. math

    given that tan(x)=3, what is cot(pi-x)

  100. math

    how do I solve these? (Tan^2ө)(Cos^2ө)+ (cot^2ө)(sin^2ө) The answer is supposed to be one but I don't know how to get it. 9sec^2ө - 5 tan^2ө The answer is supposed to be 5+4sec^2ө

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