# Prove that sine inverse x = cosec inverse 1/x

5,756 results
1. ## algebra

Can someone help with inverse relations and functions? is relation t a function? Is the inverse t a function? chart looks like: x 0 2 4 6 y -10 -1 4 8 If someone could please explain this problem

2. ## math

Enter the expression asin(x)+15, where asin(x)is the inverse sine function.

3. ## Algebra

Is the relationship between the variables inthe table a direct variation, an inverse variation, both, or neither? If it is a direct or inverse variation write a function to model it x: 2, 5, 12, 20 y: 30, 12, 5, 3 A. Direct variation: y = 15x B. Inverse

Did I get these practice questions right? 1. Suppose that f is an even function whose domain is the set of all real numbers. Then which of the following can we claim to be true? ***The function f has an inverse f โ1 that is even. The function f has an

5. ## Algebra

Myra uses an inverse variation function to model the data for the ordered pairs below. (2, 30), (3, 20), (4, 15), (5, 12), (6, 10) Which statement best explains whether an inverse variation function is the best model for the data? An inverse function is

6. ## Algebra 2

formula for converting celcius to fahrenheit: F=9/5C+32 a) what is the inverse of the function? b)use the inverse to find the celcius tempertature that corresponds to 25F Please help i have no idea how to solve this :(

7. ## Pre-Cal: Word Problem

I'm having a lot of trouble on this word problem. Can someone help me plz? To define the inverse sine function, we restrict the domain of sine to the interval ______. On this interval the sine function is one-to-one, and its inverse function sin^โ1 is

8. ## inverse

If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means f inverse of 1 doesn't

9. ## Algebra 2

Is the relationship between the variables in the table a direct variation, an inverse variation, both, or neither? if it is a direct or inverse variation, write a function to model it. x 2 5 15 20 y 20 15 2 2 a. inverse variation;y=10/x b. neither c.

10. ## Algebra 2

I am trying to figure out if these problems are Direct Variation, Inverse Variation, or Neither. Could someone please check my answers? m=-5p Direct c=e/-4 Neither c=3v Direct r= 9/t Inverse n=(1/2)f Direct u=I/18 Neither d=4t Direct z= -0.2/t Inverse

11. ## Trig/Math

To find an angle where you have the opposite and adjacent which formula do you use? Sine, Cosine, Tan? and how do you find the inverse?

12. ## Algebra

what is the inverse of the linear parent function? How would you graph the inverse and what are the values for the inverse???

13. ## Linear Algebra

which of the following functions is the inverse of F(X)=3x F(X)=-3X F(X)=X (cubed)**** F(X)= X/3 This function does not have an inverse. Thank you!

14. ## math

Is the relationship between the variables in the table direct variation, inverse variation, both, or neither? If it is a direct or inverse variation, write a function to follow it. X:2 5 20 40 Y:40 20 5 2 ANSWERS AVAILABLE TO CHOSE: A) NEITHER B) INVERSE

15. ## Precalculus

Find the inverse of g(x)=(1/3x)-7 and then find its domain and range. I already found the inverse of the function.

16. ## algebra

Simplify x + 7 / x^2 + 4x - 21 (This is a fraction) Answer choices - 1/x-3; where x does not equal 3.-7 x - 3; where x does not equal 3 1/x-7; where x does not eaul 7 x-7 Do the data in the table represent a direct varation or an inverse varition? writie

17. ## math

The cost of producing q articles is given by the function C=f(q)=100+2q. (A) Find the formula for the inverse function. (B) Explain in practical terms what the inverse function tells you. I am pretty sure the answer to A is f^-1(C)=C/2-50 For B, the

18. ## Math

Find the inverse of the function. y- log (x+3) The inverse is y = ___

19. ## Algebra

Consider the following matrix. A = 7, -5 -4, 3 Choose the correct description of A Find A^โ1 if it exists. Answer either Choice 1, or Choice 2: CHOICE 1: A is nonsingular; that is, it has an inverse. A^-1 = _________ or CHOICE 2 : A is singular; that is,

20. ## Algebra 1

Does the data in the table represent a direct or inverse variation? Write an equation that models the data in the table. X | 1 | 3 | 5 | 10 Y | 4 | 12| 20| 40 A) direct variation y=4x B) direct variation y=1/4x C) inverse variation xy=4 D) inverse

21. ## College Algebra

Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. Show both graphs. f(x)=2ln(3-x)+6

22. ## Algebra

How come x: -1,0,1,2,3,4 y:-2,1,2,1,-2,6 does not have an inverse? I don't see why you just can't flip the x and y values (for example X:-2, y:-1) and have that be the inverse. Could you explain?

23. ## Math

Find inverse of f if f(x)= x^2-4x+3, (for x is smaller than and equal to 2). First prove that f(x) is one to one in the defined domain of f and then obtain the inverse function. I know how to find the inverse. We just switch x and y. so y=x^2-4x+3 becomes

24. ## Calculus

The derivative of an inverse: Suppose that ๐=๐^โ1 (f inverse) . If ๐(3)=2 , what is ๐โฒ(3) ? Express your answer solely in terms of ๐ , not ๐ .

25. ## pre-calculus

the function f(x)=4/x-7 is one to one a. find the inverse of f b. graph f, f^-1, and y=x on the same set of axes find the inverse of f f^-1(x)=

26. ## Math

Find the multiplicative inverse of the number. 1/2 (fraction) The inverse would be 2/1, which would be 2 as the final answer.

27. ## algebra 2

for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse. f(x)=10x-6

28. ## Algebra

Does the data in the table represent a direct variation or an inverse variation? x - 1, 2, 5, 10 y - 40, 20, 8, 4 A.) Direct variation; y = 40x B.) Inverse variation; xy = 40* C.) Inverse variation; xy = 1/40

29. ## Algebra

I have to find the inverse function of f(x)=3-4x. I got y=3-x/4 for the function. I then have to plug it back into the function and verify that it is the inverse. So I wrote (3-4(3-x))/4. This resulted in (-3+x)/4=x. I tried isolating it to get x=x but I

30. ## Trigonometry

Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^-1(y). Explain your

31. ## Very easy math

my teacher told me that the inverse of addition was subtraction and that the inverse of subtraction was addition... could you prove it to me -x = (-1)x ((-1)x)^-1 I don't see how I'm suppose to get + x by taking the inverse of -x i've always been told in

32. ## Math- steve? reiny?

1. Let f(x)=x^5 + 2x^3 + x - 1 Find f^-1(3) and (f^-1)'(3)? I have zero idea how to find the inverse of this function at a point 3, and how to take derivative of an inverse. 2.Let f(x)=cosx + 3x Show that f(x) is a differentiable inverse and find f^-1(1)

33. ## pre calculus

Find the inverse of the function below. Graph the function below and the inverse. Determine the domain, range and asymptotes of the function below and the inverse function. Please show all your work. f(x) = 2e^-x + 5 Just looking at this gives me a

34. ## Maths B

(a) What is the inverse of the function y = 3x2 ? (b) On the same set of axes, without the use of a graphical calculator, graph the original function and its inverse. (c) Is the inverse of the function also a function? Explain your decision.

35. ## Pre Calculus

Inverse functions what is the inverse function of f(x)=1/square root of x +1? and f(x)=1-x^2, x

36. ## calculus

Prove that cos(sin inverse x) = square root ( 1-x^2)

37. ## math

Direct vs. Inverse Variation Also this one: You purchase a new SUV; as age increases, the resale price decreases. I believe this would be inverse, but the answer packet says neither direct nor inverse. As I understand inverse, as one value goes up, the

38. ## Math

y=arccos(sin(x)), find dy/dx and sketch it's graph(I guess I can do this on wolframalpha after I'm done solving the question). And by arcsin I mean inverse of the expression(written like cos^-1(sin(x)), but is not 1/cos(sinx) but the inverse of cos). I am

39. ## Algebra

Does the data in the table represent a direction variation or an inverse variation, write an equation x 1 2 5 10 y 40 20 8 4 My answer is a direct variation, y=40x, is this correct? here are the other answers direct variation 7=1/40x inverse variat xy=40

40. ## Math

Directions: Does the following inverse of [2 6 exist? 1 3] If it isn't an inverse, explain why.

41. ## inverse

find f^-1 (x). (this is asking me to find the inverse) f(x) = -(x-2)^2, x If f(x)=-(x-2)^2 x

42. ## College Algebra

Consider the following Matrix: A= [-2 0 1 -1 -2 1 1 -1 0 ] Choose the correct description of A. Find Aโ1 if it exists. Multiple Choice homework question: 1) A is Nonsingular; that is, it has an inverse. A^-1= 2) A is singular; that is, its inverse

43. ## math

Explain the notation M^-1 used for the inverse of a square matrix M. I thought M^-1 would be a normal inverse matrix except the numbers would be vertically switched like in fractions...? Not sure though.

Given: Let f: X -> Y be a function. Then we have an associated function f^(-1): P(Y) -> P(X), where f^(-1) (B)โX is the inverse image of BโY. Question: Show that f^(-1) is one-to-one if and only if f is onto. [Notes: โ represents subspace, I just

45. ## algebra 2

Please help! y=2x I need to find the inverse, and I am wonderingif the inverse is x= 2y or f-1 = x/2????

46. ## trig

inverse tan x = inverse cos 4/5

47. ## GENRAL MATHS

PROVE THAT (1+COT A+TAN A)(SIN A-COS A)=SEC A\COSEC A-COSEC A\SEC A

48. ## math- precalculus

Help please! I can't seem to get x as the answer to prove that they are inverses of each other! Show what f and g are inverse functions algebraically f(x)= x-1/x+5 g(x)= -5x+1/x-1

49. ## calc

Find the area of the region bounded by the curves y equals the inverse sine of x divided by 4, y = 0, and x = 4 obtained by integrating with respect to y. Your work must include the definite integral and the antiderivative.

50. ## Algebra Help ASAP PLEASE!

((I forgot how to do find inverse functions and this is important)) Find the inverse function of g(x) = 2x + 4. A) g^(-1)(x) = 4x + 2 B) g^(-1)(x) = 2x + 1/2 C) g^(-1)(x) = 1/2x - 2 D) g^(-1)(x) = 2x - 4 I *think* it might be C but I'm not sure.

51. ## algebra 2

What is the identity element for multiplication? What is the multiplicative inverse of 4? of 0.1? What is the familiar name for "multiplicative inverse"?

52. ## Maths

Prove that sine inverse x = cosec inverse 1/x

53. ## Pre-Calc

Does y=1/x have an inverse? It is a one-to-one function, so it should be the inverse equation is the same??? yes, the inverse is the same. Check it with G(f(x)) So, when drawing the inverse, it is just the same graph?

54. ## Trigonometry

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x โ 2 D. y = sin (x โ 2) 3. What is tan-ยน โ3/3 ? A. ฯ/4 B. -ฯ/3 C. ฯ/6 D. -ฯ/4 4. cotโ1

55. ## Trigonometry

IM STUCK ON THESE :( 1. What is the equation for shifting the standard sine curve +2 units horizontally? A. y = sin (x + 2) B. y = sin x + 2 C. y = sin x โ 2 D. y = sin (x โ 2) 3. What is tan-ยน โ3/3 ? A. ฯ/4 B. -ฯ/3 C. ฯ/6 D. -ฯ/4 4. cotโ1

What is the inverse of each of the functions defined by the following equations, if the inverse exists. If the inverse does not exist for the largest possible domain, limit the domain so that the inverse will exist. In each case, give the domain and range

57. ## Pre-caluclus

I do not know how to solve for y to get the inverse of this question: The number of elephants in a park is estimated to be P(t)=7500 1 + 749e^(โ0.15t) where t is the time in years and t = 0 corresponds to the year 1903. Find the inverse of P(t). What is

58. ## Math

Find the zero of f(x) = (2^x-1)(-3^x+1). x = (ln2 + ln3)/(ln2 - ln3) x = (ln2 - ln3)/(ln2 + ln3) x = 2/(ln2 - ln3) x = - (ln5/ln1) I can't figure this out. Solve log(27)(log(x)10) = 1/3 for x. x = (3(inverse)sqrt90)/3 x = 10(inverse)sqrt3 x =

59. ## graph!

how can the graph of f(x)= X^2-4X be used to obtain the graph of y=g(x) ?????? don't know can you help me out? What is g(x)? The inverse function of f(x)? http://www.uncwil.edu/courses/mat111hb/functions/inverse/inverse.html

A student writes, "The inverse of y = -โ(x+2) is y = x^2 - 2." Why is this statement false? I don't understand how it isnt the inverse. The textbook says that changing the domain will make it the inverse? Wouldn't that only make it a function?

61. ## Calculus

F(x) = 1-x and g(x) = 1/x These functions have the property that f = f^-1(inverse) and g = g ^-1. That is, the inverse of f is equal to itself and the inverse of g is also equal to itself. Take the composition of each function with itself to show that this

62. ## PreCalc!

sketch a graph whose domain is the interval [0, infinity) but whose domain must be restricted to [0,4] so that the function can have an inverse. (The only one i can think of is a parabola but she said we cant use that one) Consider the 2 statements: I. if

63. ## linear algebra

1)If A is an invertible matrix and k is a positive integer, then (A^k)^-1 = (A^-1)^k note: ^ stand for power, -1 stand for inverse of A 2)If A is an invertible matrix, then (transpose of A)^-1 =transpose of(A^-1) 3)Prove A^2 = A, then I - 2A = (I - 2A)^-1

64. ## algebra

1 (a) A function passes through the points (0, -5), (1, 0), (2, 7). Use finite differences to determine the equation of the function. (b) Draw the graph of the function. (c) Draw the inverse on the graph. (d) Show at least two different restrictions to the

65. ## Geometry

Explain why the the inverse of sine times 1.5 does not make sense.

66. ## Geometry

Explain why the inverse of sine times 1.5 does not make sense.

67. ## Math

Determine whether each equation is true for all x for which both sides of the equation are defined. If it is true, support your conclusion with a sketch using the unit circle. If it is false, give a counterexample. inverse sin(-x)=-inverse sin(x) inverse

68. ## Pre-Calc

Verify the identity. Show your work. cot2x + csc2x = 2csc2x - 1 1+cosec^2x +cosec^2x Cot^2x+cosec^x= 1+2 cosec^2x Would this be correct?

69. ## Pre-Calculus

g(x)= x^2+7 Find the inverse of g(x) and state the domain and range for the inverse of g(x) using interval notation

70. ## calculus

f(x)=sqrt(x-2) what is the inverse of f? I got inverse f(x)= x^2+2 however, you need to specify the domain of x. the answer key says when x=>0 can you please explain why? I thought it would be when x=>2 ?

71. ## Calculus

If g(X) = 2+ln(x-5), find the inverse function, (g^(-1))(x) Solution: y = 2+ ln(x-5) e^y = 2 + x - 5 x = e^y + 3 y = e^x + 3 g^(-1) = y = e^x + 3 Is that right? I'm following an example - but don't really get it - how do I determine the domain and range -

72. ## Math

: Determine the equation of inverse f(x) = 2x^2+24-3. What is the domain and range of the inverse function.

73. ## Trig

Solve for t algebraically: inverse cos(t) = inverse sin(t). Where do I start?

74. ## Geometry

Am I CORRECT . Write the inverse and the contrapositive of the statement If Jane is here, then she is well. Inverse

75. ## math

Determine the inverse of f(x)=(x^3)-2 Is the inverse the switch of coordinates between x and y or is it 1 over the whole equation?

76. ## precalculus

Find the inverse of the function below. Graph the function below and the inverse function. Determine the domain, range, and asymptotes of the function below and the inverse function. Please show all of your work. and graph. f(x)=e^-x/2+4

77. ## Math / Algebra

Can you check my work? Thank you :) 1. The Domain of a function F is the same as the range of F^-1 (True or False?) Answer: True. 2. Does the function y = |x-2| have an inverse? Select the best answer. A. Yes, it passes the horizontal line test. B. No, it

78. ## math

how do you find the equations inverse and the domain of the inverse f(x)= 4x^2 -5

79. ## End behavior models

Thanks for the help with my previous problems Roger & Leo. It was really helpful. Now I want to know how to find the right and left end behavior models and horizontal tangents for the inverse functions, say y = tan inverse(x) I have to do this for all

80. ## Maths trigonometry

Prove that cosec A_cotA by cosecA+Costa + cosecA+ Cot A by cosecA_cotA=2 cosec squareA_1=2รโ1+cos squares by1_cos squareA

81. ## math

Let f:A->B, where A and B are nonempty, and let T1 and T2 be subsets of B. a.Prove that f^-1(T1 U T2)= f^-1(T1) U f^-1(T2). b.Prove that f^-1(T1 intersects T2) = f^-1(T1) intersects f^-1(T2). I think once I see a I can do b. c. Prove that f^-1(T1) -

82. ## calculus

Prove that cos(sin inverse x) = square root ( 1-x^2)

The following function is one-to-one; find its inverse f(x)=x^3+5 I know that the first step would be to set y = to x so I did y=x^3+5 Then you swap x with y so x=y^3+5. Then you solve for y and this is where I think i messed up. I did y^3=x-5 = y=x^3-5

84. ## Math: Intro to Proofs

Given: Let f: X -> Y be a function. Then we have an associated function f^(-1): P(Y) -> P(X), where f^(-1) (B)โX is the inverse image of BโY. Question: Show that f^(-1) is one-to-one if and only if f is onto. [Notes: โ represents subspace, I just

85. ## algebra 2

for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse. g(x)=-6x+5 please explain how you got the answer

86. ## Calculus

Does f(x)= 1 + cos(x), have an inverse or not, if so, what is the inverse? please explain.

87. ## math!

about finding the inverse of y=(2x+1)/(x+3). should you multiply (x+3) on both sides and get y(x+3)=2x+1? then what would be your next step? This one is a little tricky because we we have a rational function. What we want to end up with is x(y) To do this

88. ## precalculus

find the inverse of the function, graph the inverse function, determine the domain, range and asympotoes f(x)= e^-x/(2)+4

89. ## Algebra

Given the functions f(x)=x+5/3 and g(x)=1/f^-1(x)+1, find the value of g(3). The first step would first be to find the inverse of x+1, the denominator of the fraction. I think the inverse would be 1-x. And now we have 1/1-x so we can just plu in 3. Right?

90. ## algebra 2

for each function, find an equasion for the inverse. then use composition to verify that the equasion you wrote is the inverse. f(x)=14.4x

91. ## Math-quick Q

So I had already asked a question on inverse and direct variation problems, how would it be if the problem is neither inverse or direct

92. ## math

using the inverse property of division how would you isolate -4.2? example of inverse property of multiplication: 3x-5=25 you would add 5 to 25 and then divide 3 to 3x and 25

93. ## Algebra II (Matrices)

My book doesn't solve it like a linear equation, they solve it by using inverse matrices. Solve the matrix equation: |4 -5||m|=|32| |1 2| |n|=|-5| A= |4 -5| |1 2| X= |m| |n| B= |32| |-5| Step 1. Find the inverse of the coefficient matrix. A^-1= 1/13|2 5|

94. ## pre-calculus

Rewrite the following expression as an algebraic function of x sin(arccos(x/2)) I know sine is y, which is opposite over hypotenuse. I also know that arccos is the inverse of cosine. I'm confused on what the question is asking and what to do with the x.

95. ## Trigonometry

Having trouble with true/false questions in Trigonometry. They read as follows - True or False: For a trigonometric function, y=f(x), then x=F^-1(y). Explain your answer. True or False: For a one to one function, y=f(x), then x=f^-1(y). Explain your

96. ## evaluation

Evaluate 1. sin(tan inverse sqrt(x^2-2x)) 2. tan (sec inverse 3y)

97. ## Math

Question 14 of 14 What is the multiplicative inverse of c/d? Explain how a number is related to its multiplicative inverse Can I get some help

98. ## Calculus

Hello I need help with this excersise of derivative of a inverse function. The excersise says: If f(x+2)=x^3+1 and g(x)=f(arctg x), find the derivative of the inverse function of g(x) and then calculate (g^-1 (9))'[the derivative of the inverse function

99. ## Math 3

Find the inverse of the function f(x) = 5 โ e^(x-1). Determine the domain, range, and asymptotes of the function and its inverse function. Please show all of your work.

100. ## math

i can figure this out -2+|-5+6| i try inverse but im still getting it wrong ive been stuck on this fo awhile There is no inverse in the equation. the |...| means absolute value. We perform what is indicated in the |,,| and that is +1. The absolute value of