Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 4 cos 0 -8 sin 0 Write the Cartesian equation.

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r = 4 cos 0 -…

A:

Q: Find an angle e between 180° and 270° which satisfies the equation cos 0 = 2

A: We know that cos is negative in 1st 2nd and 3rd quadrant.  cos(45degree)= 1/(root2)

Q: Consider the following. co) X = sin y = cos (a) Eliminate the parameter to find a Cartesian equation…

A: x=sinθ2 sinθ2=x θ2=arcsinx θ=2arcsinx

Q: r2 = sin 20 –3 cos0 %3D

A:

Q: The trajectory of a bullet is given by x = vo cos(a)t, y = = vo sin(a)t 6. 2962 т where vo = 450-…

A:

Q: Which of the following equations best models this situation? A bicycle tire with a radius of 40 cm…

A: The radius of the bicycle tire = 40 cm and tire rotate once every 2 seconds.

Q: Use the figure to write the expression "cos y "in algebraic form given              y = arccos x,…

A: First we need to find the trigonometric expression of tan y. From the data given y=cos-1(x) If y =…

Q: From the information given, find the quadrant in which the terminal point determined by t lie sin(t)…

A: Given; Sin(t) < 0 and cos(t) < 0.

Q: Find a rectangular form of the equation. r(7 cos 0 + sin 0) = 4

A: To convert a polar form to rectangular form the following formulae are used.

Q: Find a rectangular form of the equation. r = tan 0

A:

Q: Analyze the following equation and graph it. r= 12 4 + 2 sin 0

A:

Q: Change the equation to rectangular coordinates. r(3 cos e + 4 sin 0) = 12

A: r3cosθ+4sinθ=12

Q: Which of the following is the equation of the given curve? Or= 20 – 20 cos 0 Or= 10 – 10 sin 0 Or=10…

A:

Q: Sketch the following equation y = -3 sin0) +2 %3D

A: We have to draw the graph of the following equation :-  y=-3sin14θ+2

Q: Write the equation x2 + y? = 81 in polar coordinates. a) Or?cos? (0) = 81 b) Or? = 9 c) Or = 81 d)…

A:

Q: convert to an equation in rectangular coordinates.  r = sin θ

A: r=sin θ

Q: When instructed to write the equation of a sine function with a vertical stretch of 2 and a…

A: We have to transform sine function and write it's new equation.

Q: Find all ons to the equation. 2 cos 0+/3 =0 %3D Write your answer in radians in terms of T, and use…

A: 2cosθ+3=0cosθ=-32cosθ=-π6The cos is negative in second quadrant and third quadrant…

Q: Describe the graph of the equation. r = 10 sin 6t í – 10 cos 6t j

A:

Q: Find the quadrant in which 0 lies: (a) csc0 0 (b) sec 0 > 0 and sin 0 <0

A: we have to find the quadrant

Q: Use the half-angle formula to find the exact value. cos 22.5° = ロ石 号 %3D

A:

Q: When the axes are related through an angle a,Find the transformed equation of X cos a +y sin a =p

A: Given: The equation is  xcosa+ysina=p

Q: State the quadrant in which lies. sin(0) < 0 and cos(0) < 0 0 0 0 0 I II III IV

A: Given problem:- State the quadrant in which lies.   sin(θ)&lt;0 and cos(θ) &lt; 0

Q: convert r=4/2+sin(theta) to a rectangular equation

A:

Q: What is the horizontal shift of the following equation? TT I+ cos 3x + O pi/2 units to the left…

A: y=Acos(Bx+C)+D  Where A is amplitude Period= 2π/B  Phase shift or horizontal shift = -C/B  Vertical…

Q: Consider the following. sin(-e). = co(), X = (a) Eliminate the parameter to find a Cartesian…

A:

Q: Which of the following answer choices correctly graphs the equation below? y=sin(x+ π/3) −1

A:

Q: . Find the period of y = -4 sin (x): B) * 57 A) 5m C) 5 D)

A:

Q: The following sets of parametric equations have the same graph? Explain.      x = cos θ, y = sin2θ,…

A: Given the set of parametric equations   x = cos θ, y = sin2θ, 0 &lt; θ &lt; π   and   x = cos(−θ), y…

Q: : When the axes are retated through an angle a, Find the transformed equation of x cos a + y sin a…

A: When the axes are rotated through an angle a then we have to  find the transformed equation for the…

Q: Describe the graph of the equation. r = 11 sin 13t i - 11 cos 13t j

A:

Q: 1 Convert the equation to rectangular coordinates: r = %D 4 sin 0 + 2 cos 0

A:

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. r= 8 cos 0-4…

A:

Q: convert to an equation in rectangular coordinates. 14. r = sin 0

A: We need to convert the equation r=sinθ in rectangular coordinates. Let us assume x=r cosθ, y=r sinθ.…

Q: Find the cosine of ZI. H. 45 J 53 Write your answer as an integer or as a decimal rounded to the…

A:

Q: From the information given, find the quadrant in which the terminal point determined by t lies.…

A:

Q: Solve the following equation in Cartesian form (r = 1 - cos theta)

A: Given:- r = 1-cosθ To find:- Cartesian form given equation

Q: Convert r = 10 sin(0) to an equation in rectangular coordinates

A:

Q: Determine whether the graph of the given equation will be a line, circle, rose curve, lemnis-cate,…

A: Given  The equation of the polar curve is r=4+4 cos θ .

Q: convert r=4/3+sin(theta) to a rectangular equation.  SImplify your answer into the correct form.

A: Multiply the entire equation by r  r2 = 4r/3 + r sin θ  We know that x2 + y2 = r2, and, y=r sin θ…

Q: Graph the equation r = sin ( ) for 0 < 0 < 14m.

A:

Q: Find a rectangular form of the equation. r = 3 cos 0

A:

Q: x = 3 sin? (2t) – 2 ;teR y =1-3 cos (2t)

A:

Q: photo attached

A: Find the equation with rectangular coordinates of

Q: Eliminate the parameter t and graph the resulting equation.   x = 3 + 2 sin t, y = 1 + 2 cos t

A: Given  x=3+2sint, y=1+2cost⇒sint=x-32.........(1)cost=y-12.............(2)

Q: Consider the following. x = 9 sin?(t), y = 9 cos?(t) (a) Eliminate the parameter to find a Cartesian…

A: