2) Eliminate the parameters and write as a Cartesian equation. Then graph your result, including the direction given by the parameterization. x = sin(0) y = cos(÷0)

Q: The equation of the line that represents the terminal side of standard position angle is -5x - 3y =…

A: We have given equation of the line that represents the terminal side of the standard position angle…

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

A:

Q: Write the equation in the general form of r=7/(1-cosθ) using rectangular coordinates.

A:

Q: Change the equation to rectangular coordinates. r = 4 sin 0

A: Given: r=4 sin θTo change the equation into rectangular coordinates

Q: 3 where 0<xS 5' sin x

A:

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: Find the Cartesian equation of r2 sin(20) = 1.

A:

Q: photo attached

A: Given:

Q: The equation r = 4 sin e can be converted to a rectangular equation by . by and then replacing r…

A: r=4sinθ On simplification, we get ⇒r2=4rsinθ   Multiplying by r on both sides⇒x2+y2=4y  ∵y=rsinθ…

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: Determine whether the statement is true or false. The equationsr = 8, x + y = 64, and x = 8 sin(3t),…

A: We know x2+y2= a2 is a circle equation with radius a center at (0,0). So, x2+y2= 64=82 is the…

Q: Convert r = 6(sin(0) + cos(0)) to an equation in rectangular coordinates in terms of x and y.

A:

Q: If A is negative, then the graph of y = A sin x will be ___________ about the _______.

A: Fill in the blanks. If A is negative, then the graph of y = A sin x will be ___________ about the…

Q: Solve the cofunction of sec(3pi/10)

A: The given expression is sec3π10. Cofunction identities in radians. sec3π10= csc(π2 -…

Q: Find a rectangular form of the equation. 3. 1 + cos 0

A:

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: Convert r = 5 sin(0) to an equation in rectangular coordinates.

A:

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

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Q: 22 (in Quadrant-I), find 17 If csc(x) sin(2x) %3D

A:

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

A: r3cosθ+4sinθ=12

Q: Convert r= 3 sec e to its equivalent Cartesian equation.

A:

Q: Convert the following equation to Cartesian coordinates. Describe the resulting curve. 4. 7 cos 0+2…

A: To convert the given equation into cartesian form.

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

A:

Q: Show that r = a cos θ + b sin θ is the equation of a circle passing through the origin. Express the…

A:

Q: Find equation of r = 1 + 8 cos(0) in rectangular coordinates.

A:

Q: Graph the equation r = sin^2 (2.3u) + cos^4 (2.3u) for 0 &lt;=u&lt;= 10pai.

A:

Q: Consider the given equation. cot(y) sec(y) csc(y) – sin(y) (a) Verify algebraically that the…

A: a) To verify :cot(y)sec(y)=csc(y)-sin(y)

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

A:

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

A:

Q: r = sin +2cos²

A:

Q: What is the period of the equation y=sin 4x 4

A:

Q: Please help me solve the given trigonometric equation.

A: Consider the given equation and replace the term cos(4x) using double angle trigonometric identity.…

Q: Transform the equation to rectangular equation. 1-2 cos 8 O x? - 3y2 +8x + 4 = 0 O 3x2 - y? + 8x +4…

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

A:

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: 2. If cos(0) = 0.6 , what are the coordinates of P ? Explain your reasoning. YA

A: Here we will use coordinate geometry and trigonometry property of traingle to solve this

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

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Q: Eliminate the parameter and write the corresponding rectangular equation. x = 7 cos q y = 5sin q

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: Convert r= 4+cos (2•) into rectangular coordinates

A: Consider the polar equation

Q: 4. Change to an equiv- 1+2 sin 0 alent rectangular equation.

A: