Homework Help: Trig

Posted by Audrey on Monday, December 13, 2010 at 11:13pm.

A curve with polar equation
r=(8)/7sinx + 36cosx
represents a line. This line has a Cartesian equation of the form
y=mx+b ,where m and b are constants. Give the formula
for y in terms of x . For example, if the line had equation
y=2x+3 then the answer would be 2x+3 .

Trig - Reiny, Monday, December 13, 2010 at 11:30pm
you must mean r = 8/(7sinŲ + 36cosŲ)

It would be very confusing to have x as an angle and then use it in the linear function
Also I tried your equation the way you typed it and got nowhere.

conversion: r^2 = x^2 + y^2, and sinŲ = y/r, cosŲ = x/r

r = 8/((7y/x) + 36x/r))
r = 8r/(7y + 36x)
1 = 8/(7y + 36x)
36x + 7y = 8 is the linear equation
Trig - Audrey, Monday, December 13, 2010 at 11:40pm
How do you convert 36x + 7y = 8 into y=mx+b format?
Trig - Reiny, Monday, December 13, 2010 at 11:42pm
that is the easy part ....
36x + 7y = 8
7y = -36x + 8
y = (-36/7)x + 8/7

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