Q1. Graph the polar equation: I = 1+sin 0 Fill the table and use the values to graph. Use π/4 as angle increment. Use 0.7 as an approximation of sin (π/4). sin Ꮎ 1+ sin 0 0 0 0 TC/4 0.7 4

Q: Give two other polar coordinates for the point (2,pi/4). Make sure one has a positive radius and the…

A: Given, r, θ=2, π4 To find other two polar coordinates. Here,r=2 and θ=π4

Q: Convert (3, 8) to polar coordinates, where r is positive and is measured in radians in the interval…

A: given  (x,y)=(3,8)in polar coordinates (r,θ)r2=x2+y2tanθ=yxgiven r is positive and θ is in radians

Q: Use the symmetry test on the equation r (y axis, polar axis, pole). r = 2-4 sin² 0

A: Follow the steps below to check the symmetry of the graph: r=fθ. Substitute (r,θ) with (r,π-θ) to…

Q: Convert the following polar coordinates to rectangular coordinates. Where appropriate you may use…

A:

Q: Write the equation of a sine function that has the given characteristics. Amplitude: 19 Period: 4…

A: Given that we need to find the equation of sine function whose  Amplitude = 19 Period = 4…

Q: Use the polar mode of a graphing utility with angle measure in radians to graph the butterfly curve,…

A: graph of this given function with the help of graphing utility is given as

Q: Write an equation of the line tangent to this curve at point A r = −8 sin(θ)  polar coordinate…

A: Given query is to find the equation of the tangent line

Q: Find the smallest interval for θ starting with θ min = 0 so that your graphing utility graphs the…

A: Consider the given polar equation, r=4sin2θ use the Desmos graphing calculator to graph the…