Eliminate the parameter and obtain the standard form of the rectangular equation.           Circle: x = h + r cos θ, y = k + r sin θ

Q: In the given image, ⊙P is centered at (10, −6) with the x-axis tangent to the circle at point T.…

A:

Q: Given the equation below, eliminate the parameter and determine which of the following rectangular…

A: The given parametric equations are xt=2t2+6 and yt=5-t. Eliminate the parameter t from y as follows.…

Q: Convert to rectangular coordinates. Use exact values. (v3. - ) TT (x, y) = %3D

A: Given data  (r,theta)=(4√3,(-pi/3))  Convert to rectangular coordinates  x=r(cos(theta))…

Q: In the accompanying diagram, which point may be the image of point C after a line reflection in the…

A: Reflection rule along y-axis P(x,y)⇒P(-x,y)

Q: Evaluate xy? ds where Cis the first quadrant of the circle, x² + y²= 16 . .A 256 3 .B 8192 5 .C 8192…

A: By line integration formula problem is solved

Q: find the center (h, k) and the radius r of the circle. x2+y2

A: We have find the radius and centre

Q: The point P = (x, -) lies on the unit circle shown below. What is the value of %3D in simplest form?

A:

Q: Find the area of the sector formed by the given central angle  theta in a circle of radius r.…

A: Given that θ=2.4,r=4 inches.

Q: If F = V(2x? + 4y*), find fGF . di where C is the quarter of the circle a? + y? = 4 in the first…

A: Solution :-

Q: Show that the point is on the unit circle. We need to show that the point satisfies the equation of…

A:

Q: 3. Which point of the unit circle of y = sin x has its highest value? A. -1 B. ± 1 С. 1 D. 0

A: Apologies. We only answer one question at a time. We will answer question 3 as the exact one wasn't…

Q: 8. Use the figure to identify the arc as minor, semi-circle, or major. AB : Minor GCD: DFA: EF: ÁCD:…

A: Solution:

Q: Find the point (x,y) on the unit circle  t= pi/2

A:

Q: Find the parametric form of (i) the circle x?+y? =p²

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: cond Question: a) Find the general equation of circle with center (-2.3) and passing the point (1,…

A:

Q: The equation of a circle centered at (0, 8) with a radius of is given by which of the following…

A: In general, the equation of circle is x-h2+(y-k)2=r2 Where, (h,k)=center, r=radius.

Q: If T is the point at a distance T from P(1, 0) on the unit circle with its center at (0, 0), in what…

A: T is the point at the distance of 5π4 in the unit circle.To find the point.

Q: Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance…

A: We know that, a point in third quadrant must have negative abscissa( x-coordinate) and negative…

Q: 1. State the centre and radius of the circle with equation and hence sketch the circle, a? – 4x + y?…

A:

Q: Solve as indicated. 1. Find the center and the radius of the following equations. Equation of the…

A: Note -  Acc. to Bartleby guidelines, we are supposed to do only one question. If u want more to be…

Q: Write the rectangular equation by eliminating the parameter x=8cos(theta) y=8sin(theta)

A:

Q: On the unit circle, the terminal side of angle 0 intersects the circle at a point (x, y). If 0 is…

A: We have to find the co-ordinates of the terminal point (x,y) if an angle θ = 120° intersects a unit…

Q: If T is the point at a distance T from P(1, 0) on the unit circle with its center at (0, 0), in what…

A: Given :- unit circle with centre (0,0)

Q: Given (x - 20)² + (y - 0.05)? = 81 %3D What is the center of circle? What is radius? r=

A: We have to find center and radius

Q: What is the standard circle equation from the general circle equation: x2 +y? +8x=144+12y O K+42…

A:

Q: Evaluate fo +2 dz where C is the left-half of the unit circle described in the counter clockwise…

A:

Q: Find an equation for the circle. Endpoints of a diameter (-4, 3), (2, -7) O (x + 2)2 + (y + 1)2 = 34…

A:

Q: A cirele with centre C has equation x² +y² - ár+4y +4 = 0. (a) Find (1) the coordinates of C, (li)…

A: Given equation is, x2+y2-6x+4y+4=0

Q: Find the area of the sector formed by the given central angle  theta in a circle of radius r.…

A:

Q: Write the corresponding rectangular equation by eliminating the parameter 0 x = 5 +3 sec 0 y = -3 +…

A: Solving the problem by eliminating the theta.

Q: If F = V(4x? + y*), find fc F dr where C is the quarter of the circle x2 + y? = 9 in the first…

A: Given : F=∇(4x2+y3)

Q: Eliminate the parameter t but do not graph.     x = 4 cot t, y = 4 csc t

A: Our Aim is to eliminate the parameter t from the equation given below:-x=4 cot (t)  and y= cosec (t)

Q: Find the area of the sector formed by the given central angle  theta in a circle of radius r.…

A: Given: θ=2π5, r=3m

Q: The equation of a circle centered at (0, 8) with a radius of 30 is given by which of the following…

A: Given that, center of circle is (0, 8) and radius, r = √(30) To find the equation of circle

Q: Let C be a unit circle. Then, 2i-e2z I = $ Fedz C C (z+e)8 O ei O 2i None of these

A:

Q: Find the angle, in degrees between 0 and 360° which intersects the unit circle at the point (--) V3…

A: To given point is in the third  quadrant. Refer to the figure below.…

Q: 4) Rewrite the equation of this circle in standard form. Identify the center and the radius. x? + y?…

A:

Q: Find the area of the sector formed by the given central angle  theta in a circle of radius r.…

A: We have to find the area of the sector formed  by the given central angle θ in a circle of radius r:…

Q: Convert the given point to the indicated coordinate system. Spherical (?, theta, phi) = (3,…

A: Use the formula for the conversion of the coordinate system.

Q: 3. Rewrite the following equation for a circle in standard form, identify center and radius. x² +y?…

A: The algebraic identities are a±b2=a2+b2±2ab, where a, b are any algebraic expression. Rearrange the…

Q: Eliminate the parameter, then write the resulting equation in standard form for the given situation.…

A: Use standard form of circle.

Q: Rewrite the equation of this circle in standard form: a² + 6x + y? – 14y+ 25 = 0 Standard Forr:=\ |…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: 2. Consider the circle given by the following equation: 22 + y? + 6x – 14y + 22 = 0 (a) Find the…

A: SOLUTION-

Q: Eliminate the parameter, A circle: x = h + r cos t, y = k + r sin t. Write the resulting equation in…

A: By eliminating the parameter in the given equation of a circle given below:-x= h+r cos t, y=k +r sin…

Q: The given the y-axis the eulting Surface. curue is rotated about Find the Area of

A:

Q: The point P = (-, y) V8 3 lies on the unit circle shown below. What is the value of y in simplest…

A: Please see the answer in Step 2

Q: Given the center (−9,1)(−9,1) and the radius r=9r=9, identify the equation.

A:

Q: The value of 0-dz, where the contour is the unit circle traversed clockwise, is

A: By Cauchy's residue theorem, ∮f(z) dz = 2πi (Sum of residues) Here  f(z) = 1z2 Here z = 0 is a pole…

Q: In the figure below, AB is tangent to circle O a point A, secant BD intersects circle O at points C…

A: Given: mAC⏜=70° and mCD⏜=110° m∠ABC=?

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.