a) Given the following set of parametric equation x=t? +1, 4y = 8+4t i) Eliminate the parameter of t to obtain the equation in terms of x and y. ii) Hence, by using part (i) or otherwise, sketch the graph and identify the shape and its centre. You may use the given graph paper. b) Rewrite the polar equation r= as a Cartesian equation. Hence, draw its 2 - sin 0 corresponding graph. Sketch the graph on the polar grid.

Q: Plot the points with polar coordinates (2, π/6) and (-3, -π/2).Give two alternative sets of…

A: First, mark the radius r = 2 then, rotate in anticlockwise direction by the angle pi/6 to get the…

Q: Q1) Convert the point p = (2,) in the polar coordinate system to its Cartesian coordinate…

A: We know that conversion from polar coordinate (r, θ) to Cartesian coordinate (x, y) is as follows:…

Q: Eliminate the parameter t from the parametric equations x = 3 + sin t and y = cos t − 2. Graph the…

A:

Q: If an equation fails the test for symmetry with respect to the polar axis, what can you conclude?

A: The equation has failed the symmetry test, but that does not mean that it is not symmetric with…

Q: Convert the polar equation = 2 sin(0) into Cartesian and describe this shape.

A: we have to convert the given polar equation into Cartesian equation

Q: x = 4 cos t and y = 4 sin t 0sts 4

A:

Q: To graph a polar equation r = f(0), we plot all the points (r, 0) that the equation.

A: Given

Q: What is the cartesian coordinates equation of the curve r= 3+ 3secθ given its equation in polar…

A: