Calculus
posted by Joshua .
I wanted to confirm that I solved these problems correctly (we had to convert the polar curves to Cartesian equations).
1.rcos(theta)=1
x=1
2.r=2*sin(theta)+2*cos(theta)
r^2=2rsin(theta)+2rcos(theta)
x^2+y^2=2y+2x (a little unsure what do next if this is correct)
3.r=tan(theta)sec(theta)
r=sin(theta)/(cos(theta))^2
r(cos(theta))^2=sin(theta)
r^2(cos(theta))^2=rsin(theta)
x^2=y

I agree with your answers
Nice work on #3
in #2, form
x^2 + y^2 = 2y + 2x you have a circle
you could complete the square, and find its centre and radius in this way ...
x^2 + y^2  2y  2x = 0
x^2  2x + 1 + y^2  2y + 1 = 2
(x1)^2 + (y1)^2 = 2
so centre is (1,1) and radius is √2
Respond to this Question
Similar Questions

Algebra II
Which of the following expressions are not equal to 1? 
trigonomtry
can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= cos theta c. tan (810 + theta)= ? 
trigonometry
can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= cos theta c. tan (810 + theta)= ? 
trigonometry
can you correct the rest for me please? Express each as a function of theta: a. sin (270deg + theta)= cos theta b. cos (pi + theta)= cos theta c. tan (810 + theta)= ? 
Algebra II
Multiple Choice Which expression is NOT equivalent to 1? 
trig
If sin theta is equal to 5/13 and theta is an angle in quadrant II find the value of cos theta, sec theta, tan theta, csc theta, cot theta. 
math
I have a question I have been working on since yesterday and I am not making this up. I couldn't get the right answer. If sin theta = 2/3, which of the following are possible? 
Trigonometry
Prove the following identities: 1. (tan theta  sin theta)^2 + (1cos theta)^2 = (1sec theta) ^2 2. (12cos^2 theta) / sin theta cos theta = tan theta  cot theta 3. (sin theta + cos theta ) ^2 + (sin theta  cos theta ) ^2 = 2 Thank … 
Trigonometry
Prove the following identities: 1. (tan theta  sin theta)^2 + (1cos theta)^2 = (1sec theta) ^2 2. (12cos^2 theta) / sin theta cos theta = tan theta  cot theta 3. (sin theta + cos theta ) ^2 + (sin theta  cos theta ) ^2 = 2 Thank … 
Precalculus
Circle O below has radius 1. Eight segment lengths are labeled with lowercase letters. Six of these equal a trigonometric function of theta. Your answer to this problem should be a six letter sequence whose letters represent the segment …