# 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