# can anyone help me with this question. Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trig functions of t, whenever possible. (a) -pi

137,290 results

1. ### precal

can anyone help me with this question. Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trig functions of t, whenever possible. (a) -pi (b) 6pi
2. ### trig

Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trigonometric functions of t whenever possible. 2pi 3pi/4 5pi/6 Three questions. I think those are supposed to be t.
3. ### Pre Cal

Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trigonometric functions of t, whenever possible. (If there is no solution, enter NO SOLUTION.) 4ð = ( , ) sin(4ð) = cos(4ð) = tan(4ð) = cot(4ð) = sec(4...
4. ### Pre Cal---Fix to the question below

Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trigonometric functions of t, whenever possible. (If there is no solution, enter NO SOLUTION.) 4pi = ( , ) sin(4pi) = cos(4pi) = tan(pi) = cot(pi) = sec(4pi) = ...
5. ### Pre Cal

Let P be the point on the unit circle U that corresponds to t. Find the coordinates of P and the exact values of the trigonometric functions of t, whenever possible. (If there is no solution, enter NO SOLUTION.) 9pi/4 Looking for sin, cos, tan,cot, csc, and sec
6. ### math

the point P(1/2, root 3/2) lies on the unit circle. a) sketch the unit circle showing the point P and the standard position angle theta drawn to the terminal arm containing point P. b) determine the exact values of the six trigonometric ratios of theta.
7. ### math

Find the exact values for the lengths of the labeled segments a, b and p. Note that r=3 is the radius of the circle, and s=2 is the arc length from the point (3,0) around the circle to the indicated point.
8. ### Trig

Solve: 3tan^2x-1=0. I got +/- (the sq. root of 3)/3 which is correct according to my study guide. However, I don't know how to use the unit circle to find this. The copy of the unit circle which I have does not have tangent values listed, only sine and cosine. I've tried ...
9. ### Pre-Calc

Find the point (x, y) on the unit circle that corresponds to the real number n. n = 5pi/3 (x, y) = ? Is it (1/2, -sqrt3/2)?
10. ### Trig / Calc

What angle (in degrees) corresponds to 18.96 rotations around the unit circle? Enter the exact decimal answer.
11. ### Math

I have a series of questions that I did. They lead up to the last question I can't solve. Could you check my math and help me with the last question? Thanks! a) Let a be the point (2,3). Compute the distance from Origin 0 to A answer: a^2 + b^2 = c^2 3^2 + 2^2 = c^2 c=sqrt(13...
12. ### pre cal

Find the exact values for the lengths of the labeled segments a, b and p drawn in green, red, and blue, respectively. Note that r=9 is the radius of the circle, and s=8 is the arc length from the point (9,0) around the circle to the indicated point. *i found everything but P?
13. ### Math - Algebraic Vectors

1) The vector v = [-6, -2] has tail "A" and head "B". Graph each point "A", and determine the coordinates of "B". a) A(8, 5) How would I find the coordinates of B for the question? Do you find it by adding the x values together and the y values together? So. . .the coordinate ...
14. ### math

the point P(x, -2/3) lies on the unit circle and is in quadrant 4. a) sketch the unit circle showing the point P and the principal statndard position angel theta drawn to the terminal arm containing point P. b) determine the exact value of x. c) determine the exact value of ...
15. ### Math

Find the exact values for the lengths of the labeled segments a, b and p drawn in green, red, and blue, respectively. Note that r=3 is the radius of the circle, and s=2 is the arc length from the point (3,0) around the circle to the indicated point. (So imagine a triangle ...
16. ### geometry

Circle O is defined by the equation x2 + (y - 2)2 = 25. Plot the center of Circle O and type in the coordinates of one point with integral values that lies on Circle O.
17. ### Geometry

Please Someone Help!!! Find the coordinates of a point on the unit circle corresponding to a 36 degree angle rotation. Find the coordinates of a point on the unit circle corresponding to a 115 degree angle of rotation. Find all angles between 0 degrees and 360 degrees with a ...
18. ### math

if the point (3/5,4/5) corresponds to an angle È in the unit circle, what is tan È?
19. ### Trigonometry

1) Find the coordinates of the point (-1,3) after the transformation T (to the -3,2 power) 2) What are the coordinates of point (-3,4) under D (to the 3rd power)? 3) Which of the following transformations could map the point (1,2) onto the point (3,6)? a)T (to the 2,3 power) b...
20. ### Geometry midpoint formula

A circle on the Coordinate plane has a diameter with endpoints at (6,8) and (15,8). What are the coordinates of the center of the circle? What is the radius of the circle? Identify the coordinates of another point on the circle. Explain how you found your answer.
21. ### Precalculus

The figure shows part of a curve traced by a point on the circumference of a circle of radius 4 that rotates, without slipping, around a fixed circle of radius 2. The rotating circle starts with angle t = 0 radians and the point P (x, y) at (10, 0). In this problem you will ...
22. ### pre cal

If (a, b) is a point on the unit circle that corresponds to the angle t, then tan(t) equals:
23. ### maths

the circle is given by the equation x^2+y^2+8x-7/2y=0 find (i)coordinates of the centre and the radius (ii)coordinates of the point where the circle crossesthe x-axis
24. ### Math

Suppose that è is an angle in standard position whose terminal side intersects the unit circle at ((-15/13),(12/13)). Find the exact values of cscè, tanè, and sinè.
25. ### trig

find the coordinates of the terminal point on the unit circle determined by t=9pt/7 to two decimal places
26. ### Pre-Calc

Find the point (x, y) on the unit circle that corresponds to the real number 5pi/6. Use it to evaluate cos n. Is cos n = (-sqrt(3)/2)?
27. ### trig

Question #1 Suppose that θ is an angle in standard position whose terminal side intersects the unit circle at −−2029,2129 Find the exact values of cscθ cotθ sinθ .
28. ### PRE CALCULUS

find exact values for the number of radians for an arc of 4pi/3 on a unit circle is the answer 4pi/3???
29. ### math

On the unit circle the coordinates of P(theta) are (0.588, 0.809). Find the coordinates of P(2theta). Please help.
30. ### math

The relationship between the temperature in degrees Fahrenheit (°F) and the temperature in degrees Celsius (°C) is F=(9/5)C+32 (b) What is the slope of the line? ?? What does it represent? (a) It doesn't represent anything. (b)It represents the constant increase in ...
31. ### Trigonometry

Suppose that (5/13,y) is a point in Quadrant IV lying on the unit circle. Find y. Write the exact value not a decimal approximation
32. ### trig

I have no idea how to solve this problem. <A is in standard position on a unit circle. Point P (-1/2, -√3/2) is the point of intersection of its terminal side with the unit circle. Find the measure of <A in radians.
33. ### Rectangular coordinates to polar coordinates

1) I'm asked to find 2 sets of polar coordinates for the point for 0≤ θ< 2pi from a given pair of rectangular coordinates . For instance, one of the coordinates was (-3,4). I found r = plus and minus 5.Then θ= arctan (y/x)= arctan (4/-3)= -.9273 I know you ...
34. ### math- pre calc

Suppose that (x,5/13) is a point in quadrant 2 lying on the unit circle. Find x. Write the exact value, not a decimal approximation.
35. ### Trigonometry

Point P is located at the intersection of the unit circle and the terminal side of angle theta in standard position. Find the coordinates of P to the nearest thousandth.
36. ### Math

1. In the xy-plane, a circle has its center at the point with coordinates (4,3), and the origin lies on the circle. The point with which of the following coordinates also lies on the circle? A. (-4,-3) B. (3,4) C. (6,8) D. (7,7) E. (9,8) How do you do this?
37. ### math

With regards to question J: The variables x and y are connected by the equation y = x2 - x - 5. Some corresponding values of x and y are given in the table below. x -4 -3 -2 -1 0 1 2 3 4 5 y 15 7 a -3 -5 b -3 1 7 15 (a) Calculate the values of a and b (b) Use 2 cm to represent...
38. ### Geometry

line segment ab is the diameter of circle O whose center has coordinates (6,8) . what are the coordinates of point b if the coordinates of point a are (4,2)
39. ### Geometry

line segment ab is the diameter of circle O whose center has coordinates (6,8) . what are the coordinates of point b if the coordinates of point a are (4,2)
40. ### Geometry

A circle has a center at (8,2). The point is (3,7) is on the circle. What is the area of the circle to the nearest tenth of a square unit? A. 22.2 B. 44.4 C. 157.1 D. 314.2 (I've been stuck on this question for a while) thanks!!
41. ### calculus

conic sections question 1: verify that the point (3,2) lies on the circle x^2+y^2-8x+2y+7=0, and find the equation of the tangent at this point. question 2: find the length of the tangents from the point (5,7) to the circle x^2+y^2-4x-6y+9=0 question 3: find the equation of ...
42. ### PreCalc

Find the slope of the radius of the unit circle that corresponds to the given angle. 7π/6 radians
43. ### mathematics

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...
44. ### mathematics

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...
45. ### mathematics

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...
46. ### mathematics

The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of the points of the ...
47. ### Geometry

1) find the coordinate of the image of point (1,2) translated left 2 units and reflected over the x -axis 2) Find the coordinate of the image of the point (2, -4) reflected over the x-axis 3) Determine the midpoint of the segment whose endpoints are A(7, 3, -4) and B(-3, 1, 0...
48. ### Algebra 2

Find the exact coordinates of the points on a circle of radius 12.5 at an angle of 180°
49. ### unit circle

how does the direction ( clockwise or counterclockwise effect the values of the unit circle? what does it mean?
50. ### maths

the equation of the circle is x^2+y^2+2x-8y-1=0. Find the coordinates of the point where the circle crosses the x-axis
51. ### Maths

In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x-3y+6=0 Line b=parametric eqns:x=-5+3& y=-& (real n°) Circle z=cartesian eqn:x²+y²-2x-3=0 (a)Calculate the angle between lines a an b (b)Calculate the coordinates of the point of ...
52. ### Mathematics

In an orthonormal system, you're given the following: Point P(1,2) Lina a=cartesian eqn:4x-3y+6=0 Line b=parametric eqns:x=-5+3& y=-& (real n°) Circle z=cartesian eqn:x²+y²-2x-3=0 (a)Calculate the angle between lines a an b (b)Calculate the coordinates of the point of ...
53. ### trig

Sketch a unit circle and label the terminal points corresponding to t= pi/4, 3pi/4, 5pi/4, 7pi/4. Include the coordinates of each point
54. ### Math

Problem: Given any 3 non-collinear points, find the equation of the circle that contains them. 1. You need to select 3 non-collinear points, to use in the solution. The first point will be in quadrant 1, so choose a point with x and y coordinates between 5 and 25 first point:(...
55. ### trig

Let  be an angle in standard position and the point (a, b) be the point of intersection of the terminal side of  with the unit circle. State the unit circle definitions of the six trigonometric functions. cos = sec = sin = csc = tan = cot =
56. ### Check!!!

okay so the question is: A unit circle center at the origin undergoes a series of transformations. The equation of the resulting graph is (x-3)^2+ (y+4)^2= 25 describe the transformation the unit circle underwnt Answer: The original circle was centered at the origin and had ...
57. ### sir steve reiny damon bob maths help steve!!!

Point P(2,1) and Q(4,-5) lie on a circle. If line 2x-y-13=0 is a tangent to the circle at Q, what is (*) Coordinates of the center of the circle; (*) Equation of the circle. (*) Sketch out your circle. Step
58. ### Trigonometry

Point P is located at the intersection of the unit circle and the terminal side of angle theta in standard position. Find the coordinates of P to the nearest thousandth. theta = -105degrees Please explain the steps. I'm completely stuck.
59. ### calculus

g(x)=(x^3)-(3x^2)+17 a)find and classify all critical points of g(x) using exact with x and y values. b)for what values of x is the function concave down; again exact x and y values.
60. ### pre calculus

Question 1: Explain why the equation of the line y=5 has a slope that is undefined. Explain in words or mathematically. Question 2: Given any circle, the coordinates of one endpoint of a diameter is (3,-2). If the coordinates of the center are (2,-4), find the coordinates for ...
61. ### math

1. A(-3;4) is a point on a circle with centre at the origin. a.determine the coordinates of B, if AB is a diameter. b. Show that point C(0;5) lies on this circle. c.show that ACB has a magnitude of 90degrees. 2.a.ddetermine the equation of the circle with AC as diameter, if A ...
62. ### Physics

the cartesian coordinates of a point on a circle are (1.5m, 2.0m). what are the point;s polar coordinates (r, degree) of this point?
63. ### Physics

the cartesian coordinates of a point on a circle are (1.5m, 2.0m). what are the point;s polar coordinates (r, degree) of this point?
64. ### math

a straight line passing through the origin with slope m cuts the circle x^2+y^2-4x-2y-4=0 at A(a,b) and B(b,c). A. Find a quadratic equation whose roots are a and c ans: (1+m^2)x^2-(2m+4)x-4=0 B. if P is the mid-point of AB, find the coordinates of P in terms of m. ans: P= (m+...
65. ### algebra 2

find the exact value using the unit circle cos 3.14/6
66. ### Math

What point on the unit circle corresponds to -5pi/4? A. (-Root2/2, Root2/2) B.(-Root3/2, 1/3 C.(-1/2, Root3/2) D.(0,1) D?
67. ### Maths - Parametric Equations

A circle is defined by the parametric equations x = 2cos(2t) and y = 2sin(2t) for t is all real numbers. (a) Find the coordinates of the point P on the circle when t = (4*pi)/3. (b) Find the equation of the tangent to the circle at P. Can you please show your working to help ...
68. ### GEOMETRY INSCRIBED ANGLES MULTIPLE CHOICE QUESTION

segment BC is tangent to circle A at B and to circle D at C. (Not drawn to scale) AB=10 BC=25 and DC=3. Find AD to the nearest tenth. Hint: Draw an auxiliary line from D to segment BA. {There are two circles, the larger one has point A in the center and a dotted line going up ...
69. ### Math

1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta) and tan(theta). 3. Let (theta) be an angle in ...
70. ### math

In the x y − xy− plane, the center of a circle has coordinates ( 6 , 10 ) (6,10) and the circle touches the y − y− axis at one point only. What is the radius of the circle
71. ### Math

what angle in radians corresponds to 3 rotations around the unit circle
72. ### geometry

2. For the circle with equation (x – 2)2 + (y + 3)2 = 9, answer each question: a) What are the coordinates of the center? none b) What are the radius and diameter of the circle? 360 c) Graph the circle.
73. ### math

The rule (x + 2/3, y - 3/4)is applied to a polygon. find the coordinates of the point on the image that corresponds to each of these points on the original polygon.
74. ### math

The rule (x + 2/3, y - 3/4) is applied to a polygon. Find the coordinates of the point on the image that corresponds to each of these points on the original polygon.
75. ### physics

A roller-coaster car of mass 1.80 103 kg is initially at the top of a rise at point circle a. It then moves 40.8 m at an angle of 50.0° below the horizontal to a lower point circle b. (a) Find both the potential energy of the system when the car is at points circle a and ...
76. ### trig

Find the exact value of the trigonometric function: sec(-pi/12) I am not sure how to answer this off the unit circle.
77. ### math

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...
78. ### math

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...
79. ### math

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...
80. ### math

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...
81. ### math

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...
82. ### math

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...
83. ### math

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...
84. ### math

A(-3,-2) B(8,4)are the ends of the diameter of a circle. the tangent of the circle at point B is -11x+6y+64=0 the line L passes through A and the origin. line L has a gradient of 2/3 what is the coordinates that the line L and tangent at point B cross?? (this question had 4 ...
85. ### math question

Find the coordinates of the four points which have integer coordinates and are a distance of root 5 from the point (1, 2). Hint 5=1^2 + 2^2
86. ### Math Algebra

How can I solve this problem? A circle has diameter [AB]. The centre of the circle is (1,3), and B has coordinates (4,-1). # Find the coordinates of A. # Find the length of the diameter. HELP ME PLEASE
87. ### math

There's a circle with that has a dot in the middle with two line going to the left and right that's is 16 m. I have to find the area of the circle. I have to give that exact area and an approximate area to the nearest square unit. Help?
88. ### Coordinates in 3-D, Polar Coordinates, Precalculus

Let a and b be real numbers. Describe the graph of r = a cos (theta + b) as much as possible. (The intent of this question is to get as specific a description as possible that holds for all possible values of a and b.) How would I proceed on this problem? I know r = cos theta ...
89. ### Math

Examine the diagram. A piston rod, PQ, is connected to a wheel at P and to a piston at Q. As P moves around the wheel in a counterclockwise direction, Q slides back and forth. there's a unit circle. origin to intersection at (1,0) is point P. Extending beyond the edges of the ...
90. ### trig question

On a unit circle, sin x = square root 3 over 2, with center O. Vertical line from top to center of circle is PO. Horizontal line from middle to right of circle is OE. Another vertical line of AB is parallel to PO. And radius of circle (line from O to A) is 1 unit. From A to E ...
91. ### math

For what values of k does the line y=x + k pass through the circle defined by x^2 + y^2 = 25 at: 2 points, 1 point, and 0 points i found the discriminant which is 100 - 4k^2 but im not sure how to find the values for each point
92. ### Math

Find the point (x,y) on the unit cirlce that corresponds to the real number t. t= 11 pie / 6 My answer was (1/2 , -sqrt3/2) but my teacher said it is wrong!
93. ### Precalculus

Suppose that termial point by t is the point (3/4, (square root 7)/4) on the unit circle. Find the terminal point determined by each of the following. a) pi - t b) -t c) pi + t d) 2pi + t
94. ### Precal

The point (r,theta) in polar coordinates is (7,5) in rectangular coordinates. What is the point (2r, theta + pi/2) in rectangular coordinates? So I tried this problem and got r = sqrt(74). But while finding the value of theta, I got it equal to cot(5/7) which ends up being ...
95. ### geometry

A circle has a center at (8, 2). The point (3, 7) is on the circle. What is the area of the circle to the nearest tenth of a square unit?
96. ### Geometry

a circle has a center (8,2). the point (3,7) is on the circle. What is the area of the circle to the nearest square unit?
97. ### Geometry

A circle has a center at (3,5). The point (3,8) is on the circle. What is the circumference of the circle to the nearest tenth of a unit?
98. ### physics

An object, after being released from its circular path, travels the distance OA in the same time it would have moved from O to P on the circle. The speed of the object on and off the circle remains constant at the same value. Suppose that the radius of the circle in Figure 5.4...
99. ### calculus

Use the even odd properties to find the exact value of the expression. It may be helpful to draw the unit circle graph sin(-pi)
100. ### calculus

Ola, I'm not understanding this question, any assistance? Thank you very much. Find the distance of the line y = 2x + 6 from the circle x^2 + y^2 = 0.5 Find the point of the line that is closest to the circle. [Hint: a point on the line is closest to the circle if it is ...