Find the equivalent rectangular equation for the given parametric equations. Then graph the equation. x = 2 + 4 cos t " y = -1 + 7 sin t 48 --2 ४। X

Q: Find the points of intersection of the graphs of the equations r = 1 + sin θ,       r = 3 sin θ

A: r = 1 + sin θ,       r = 3 sin θ To find: The points of intersection of the graphs of the equations.

Q: Sketch the curve r = 3 sin(2θ)

A: To sketch the curve r = 3 sin(2θ) It's amplitude lies between -3 to 3  At θ = 45°, sin(2θ) =…

Q: Determine the exact value of csc theta, sec theta and tan theta if the terminal side of theta lies…

A: Given: Terminal side of θ  lies along the line: y=52x

Q: A Ferris wheel is 3 feet off the ground. It has a diameter of 50 feet and rotates every 24 seconds.…

A: Disclaimer: since you have posted sub multiples parts of a question, we will solve only first three…

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: Determine an equation for the sinusoidal function shown: vv (-4x/3, 2) (141/3, 2) 14n (5ェ3, 4)

A:

Q: Cosa Sina sec?a- tan?a secd CSCK

A: cos αsec α+sin αcsc α=sec2α-tan2α

Q: h one complete period of the equation y = 2 sin (3x) + 5

A: Given: The equation of the sinusoidal function  y = 2 sin (3x) + 5 .

Q: from Evaluate cos r sin x dr.

A:

Q: Transform r = 12 sin 0 into rectangular form.

A: Given r= 12 sinθ

Q: Find the amplitude, period and the equation of the midline for the sinusoid below.

A: The general equation of sinusoidal function is y = asinbx-c+d  Where a is the amplitude and d is the…

Q: Write the equation of a sine function that has a maximum at (70°, 3) and a minimum at (160°, -5)

A:

Q: consider the equation sin(pi(x+y))=0  a) use your understanding of the sine function to find the…

A: a)  sin(x + y)   =  0  =>  (x + y)  =  sin-1(0)  =>  (x + y)  =  nπ    =>  Thus, the…