# Find the coordinates of the point of intersection of the angle -315� and the unit circle

116,405 results

### 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.

### 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.

### 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 =

### 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.

### trig

Point P is located at the intersection of a circle with a radius of r and the terminal side of an angle q. Find the coordinates of p to the nearest hundreth. q = -60° , r = 7

### 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 ...

### 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 ...

### 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 ...

### 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 ...

### Math

Find the point of intersection between y=2-(1/2)x and y=1+ax. (a=alpha sign). You answer will be a point in the xy plane whose coordinates involve the unknown a . I got that which is x=2/(2a+1), y=(1+2a)/(2a+1) <-intersection point I need help is to: Find a (a=alpha sign) ...

### Unit Circle

How do I find tan(-pi/4) from the unit circle? Thanks. Go 45 degrees clockwise or reverse of the circle, it should be at 315 degrees.

### maths - geometry

In a space with an orthonormal coordinate system consider the plane; &: 4x-3y=12 (a)(i)Find the coordinates of the points of intersection of the plane & with the coordinates axes (=axes intersections???) (ii)Find the parametric equations for the line of intersection of the ...

### 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...

### 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 ...

### Calculus

A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the first quadrant. Let...

### Calculus

A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the first quadrant. Let...

### Math

A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the first quadrant. Let...

### Maths

A circle C has center at the origin and radius 9. Another circle K has a diameter with one end at the origin and the other end at the point (0,17). The circles C and K intersect in two points. Let P be the point of intersection of C and K which lies in the first quadrant. Let...

### 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.

### 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...

### geometry

For "circle"(O,r) , AP is the tangent at "A belongs to circle", from an exterior point P. Now, OP "intersection" circle = {B}. If BP = 1.6 = AB/5 , Then find diameter of the circle.

### 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.

### 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

### Geometry

The points A,B,C,D have coordinates (3,3) (8,0) (-1,1) (-6,4) respectively. Find the coordinates of the point of intersection of the diagonals AC and BD? Help plZ!!!

### trig

find the coordinates of the terminal point on the unit circle determined by t=9pt/7 to two decimal places

### calc

standard equation of circle concentric with X^2+Y^2-2X-8Y+1=0 and tangent to line 2X-Y=3 Complete the squares to find the center of the circle. X^2+Y^2-2X-8Y+1=0 (x-1)^2+(y-4)^2 - 16 =0 The center is (1,4) and the radius for the given circle is 4. Now find the distance from (1...

### math

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

### 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

### 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 ...

### 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?

### Math

Circle C has radius 4 inches. Circle D had radius 9 inches. These two circles are connected. Point A,B,and E are points of tangency. Find AB. From point C to point D(which is the radius of circle C plus the raduis of circle D) it is 13 inches. From point C to point A (radius ...

### 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)

### 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)

### math

Hi, I was working on my math homework and I was stumbling on these problems. I tried looking at the solutions but my answers were completely off. Here are the ones I'm stuck on: If vectors O(0,0,0), A(6,0,0), B(6,-sqrt(24), sqrt(12)), and C(0,-sqrt(24), sqrt(12)) form a square...

Find the coordinates of the center of the ellipse represented by 4x^2 + 9y^2 – 18y – 27 = 0. For 2x^2 + xy + 2y^2 = 1, find , the angle of rotation about the origin, to the nearest degree. Find the distance between points at (–1, 6) and (5, –2). Identify the conic ...

Find the coordinates of the center of the ellipse represented by 4x^2 + 9y^2 – 18y – 27 = 0. For 2x^2 + xy + 2y^2 = 1, find , the angle of rotation about the origin, to the nearest degree. Find the distance between points at (–1, 6) and (5, –2). Identify the conic ...

### Calculus (trig stuff)

given a angle how do I find it's point P on the unit circle?

### Coordinate Geometry

Please help!!!!! The points A,B,C,D have coordinates (3,3), (8,0), (-1,1), (-6,4) respectively. a) Find the gradients of the lines AB and CD b) Show that ABCD is a parallelogram c) Find the coordinates of the point of intersection of the diagnols AC and BD. Please help me by ...

### math

a. the line y=7x cuts the circle x^2+y^2=50 at A and B. find the coordinates of A and B. b. show that C(5;5) lies on the circle. c. show that ACB angle C=90degrees. what can you deduce about AB? d.find the equation of the tangent to the circle at C

### 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.

### geometry

Draw the unit circle and a first-quadrant ray from the origin that makes an angle è with the positive x-axis. Let B be the point on this ray whose x-coordinate is 1, and let A = (1, 0). Segment AB is tangent to the circle. In terms of è, find its length.

### Math

How do you find the point of intersection(s) for x = 2y2 + 3y + 1 and 2x + 3y2 = 0 A) You cannot find points of intersections for non-functions. B) Plug in 0 for x into both equations and solve for y. Then plug that answer back into the other equation to find the corresponding...

### trigonometry

how do i determine the point of intersection of a circle with a radius of 14 and the line coming in at a 35 degree angle

### 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...

### calculus

Conic sections A circle passes through points A(-5,2), B(-3,-4) and C(1,8). Find the coordinate of the point of intersection of the perpendicular bisectors of AB and BC. What is the equation of the circle?

### math

Hi, I was working on my math homework and I was stumbling on these problems. I wanted to double check my answers that I have; I also could not answer 5. If vectors O(0,0,0), A(6,0,0), B(6,-sqrt(24), sqrt(12)), and C(0,-sqrt(24), sqrt(12)) form a square. 1) Find a vector ...

### 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...

### college algrebra

Find the coordinates of the point of intersection of the graphs of y = x and y = 6

### math

Find the coordinates of the point of intersection of the plane 2x+y-3z+6=0 on the y-axis

### Math

How do you find the point of intersection(s) for x = 2y2 + 3y + 1 and 2x + 3y2 = 0 A) You cannot find points of intersections for non-functions. B) Plug in 0 for x into both equations and solve for y. Then plug that answer back into the other equation to find the corresponding...

### Math

Hello, can anyone help me with this one question? What are the two solutions of x^2 – 2x – 4 = –3x + 9? A. the y-coordinates of the y-intercepts of the graphs of y = x^2 – 2x – 4 and y = –3x + 9 B. the x-coordinates of the x-intercepts of the graphs of y = x^2 – ...

### 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

### 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

### geometry

Draw the unit circle and a first-quadrant ray from the origin that makes an angle theta with the positive x-axis. Let B be the point on this ray whose x-coordinate is 1, and let A = (1, 0). Segment AB is tangent to the circle. In terms of theta, find its length.

### 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...

### 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

### 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 ...

### Calc

Consider a circle of radius 2 and a point P rotating around it. The angle θ, in radians, is given as a function of time t. (a) What is the value of θ when t=1.5? (b) Find the coordinates of P when t=1.5

### 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

### 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 ...

### geometry

Point M is the midpoint of AC. Find its coordinates. (1 point)(b + c, d) (a + c, d) (2c + 2c, d) (2b + c, d) 2. Point N is the midpoint of BC. Find its coordinates. (1 point)(b + c, d) (a + c, d) (2a + c, d) What theorem do Exercises 1-4 prove? (1 point)Triangle Inequality ...

### Physics

A 1200-kg roller coaster car is initially at the top of a rise, at point circle a. It then moves 145 ft, at an angle of 40.0° below the horizontal, to a lower point circle b. (a) Choose the car at point circle b to be the zero configuration for gravitational potential energy ...

### 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

### 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.

### Math-Linear Systems

Determine the point of intersection. (a) y = 4x + 6 y = -x + 1 (b) 2x + 5y = 10 x = 10 Please show how to get the point of intersection. thoroughly explain how to get point of intersection.

### math

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

### math

There is a square whose vertices lie on a unit circle. Point P lies on the terminal arm of an angle in standard position, P(0.3420, 0.9397) how do you find the degrees of P?

### Math

Find the point of intersection between y=2-(1/2)x and y=1+ax. (a=alpha sign). You answer will be a point in the xy plane whose coordinates involve the unknown a . My work so far: I set the two equations equal to each other because they intersect. 1+ax=2-(1/2)x and I got, (-1...

### Vectors

I am really lost and confused! Consider the lines r = (1,-1,1) + t(3,2,1) and r = (-2,-3,0) + u(1,2,3). a) Find their point of intersection. b) Find a vector equation for the line perpendicular to both of the given lines that passes through their point of intersection. For a I...

### Math

Check my answers please? There are only 10 The figure below shows a triangle with vertices A and B on a circle and vertex C outside it. Side AC is tangent to the circle. Side BC is a secant intersecting the circle at point X: The figure shows a circle with points A and B on it...

### 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 ...

### math

The line y=9x-4 intersects the quadratic function y=x^2+7x at one point. What are the coordinates of the point of intersection?

### Anonymous

Give the exact intersection point for the equations f(x)=4sin^2x+7sinx+6 and g(x)=2cos^2x-4sinx+11 Ok, my result is that there is no intersection point because if you put f(x)=g(x) and try to solve for x or the intersection point, the LS f(x) is not possible, so there is none...

### Math

Find the intersection point. 3x+2y = 3 2x+10y = -5 I put them into y=mx+b form and got y=-3/2 + 3/2 y=1/5x - 1/2 I can't seem to find the intersection point by graphing it either, since it won't be accurate.

### Calculus

Consider a circle of radius 5 and a point P rotating around it, as shown in the figure to the left, below. The angle(theta) , in radians, is given as a function of time t, by the graph in the second figure. What is the value of when t=0.5? Find the coordinates of P when t=0.5

### 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

### pre cal

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

### math

if p has coordinates (x, y) and is located on the unit circle, what is the highest value that the x-coordinate can take? Hence, what is the largest value that the cosine of an angle can take?

### Geometry

if a circle passes through the point of intersection of the co-ordinate axes with the lines kx-y+1=0 and x-2y+3=0. find k.

### Polar coordinates

I need some help on this Calculus question about polar coordinates. Consider a pasture bordering on a straight river. At 2m from the river, a goat is tied to a pole with a 4m long rope. What is the area of grass that the goat can graze? There are a couple ways to set this up, ...

### Calculus

P (-V3/2, -1/2 and Q(1/2, V3/2 are two points on the unit circle. If an object rotates counterclockwise from point P to point Q, what angle has it rotated? 180 + 60 = 330 P 60 Q I got like 300, but its supposed to be 210 degrees:\

### trig question

NEW DIAGRAM: 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...

### Alebra 2

At what point does the terminal side of the angle (5\pi )/(6) in standard position intersect the unit circle?

### maths-urgently needed

In right angled triangle ABC angle B=90 degree and AB= root 34 unit. The coordinates of point B and Care (4,2)and (-1,y) respectively. If area of triangle ABC = 17 sq.units, then find value of y.

### 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

### Pre-Calc (Circles)

Describe the conditions necessary, where circle A has a larger radius than circle B, for the two circle to have no points of intersection, while circle B is entirely in the interior of circle A.

### math ASAP

Find the point of intersection L1: r(t)= (-5 + 3t)i + (1+t)j L2= r(s) = (1+2s)i + (5-6s)j I know they are perpendicular, and the system of equations I think is t= 4/5 s =8/5 so how do I find the point of intersection

### 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?

### 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 ...

### 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) = ...

### 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 ...

### 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 ...

### 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 ...

### 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?

### 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?

### Pre-Calc

An ant starts at the point (3,0) on a circle of radius 3 meters and walks counterclockwise a distance of 6 meters around the circle. Find the x and the y coordinates of the ants location. Round to the nearest hundredth.

### physics

A block of mass m = 4.30 kg is released from rest from point circle a and slides on the frictionless track shown in the figure below. (Assume ha = 5.20 m.) B=3.20 c=2.00 (a) Determine the block's speed at points circle b and circle c. point circle b Y point circle c (b) ...

### Algebra 2

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

### Geometry

a circle has a center (3,5). the point (3,8) is on the circle. What is the circumference of the circle to the nearest unit?

### 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 ...