Calc 2

Find a Cartesian equation for the polar curve y = 5tan(theta)sec(theta). I think I got it but I just wanted to double check. Thanks in advance!

  1. 👍
  2. 👎
  3. 👁
  1. Would you like to post your answer if you just wanted to check?

    1. 👍
    2. 👎
  2. y=... or r=...?

    1. 👍
    2. 👎
  3. It would be in the form:
    where f and g are functions of θ.

    1. 👍
    2. 👎
  4. Read the terms of your problem!

    1. 👍
    2. 👎
  5. If r=tan(theta)sec(theta)
    then r(cos(theta)^2)=sin(theta)
    x^2 = y

    1. 👍
    2. 👎
  6. I am sorry, it is r = 5tan(theta)sec(theta)

    1. 👍
    2. 👎
  7. Mggraph: but (r*cos(theta))^2 is not x^2, is it? I thought rcos(theta) = x^2

    This is what I got:

    1 = 5y/[(x^2)(square root of(x^2 + y^2))]

    1. 👍
    2. 👎
  8. Then all right sides multiply by 5:
    x^2=5y or

    1. 👍
    2. 👎
  9. Aha I got it! Thanks so much! :)

    1. 👍
    2. 👎
  10. if I've this equation: r=sec theta tan theta. How is?

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Precalculus check answers help!

    1.) Find an expression equivalent to sec theta sin theta cot theta csc theta. tan theta csc theta sec theta ~ sin theta 2.) Find an expression equivalent to cos theta/sin theta . tan theta cot theta ~ sec theta csc theta 3.)

  2. Math

    1. Let (-7, 4) be a point on the terminal side of (theta). Find the exact values of sin(theta), csc(theta), and cot(theta). 2. Let (theta) be an angle in quadrant IV such that sin(theta)=-2/5. Find the exact values of sec(theta)

  3. calculus

    let theta be an angle of quadrant IV such that sin theta = -8/9 find the exact value of sec theta and cot theta?

  4. Pre calculaus

    find sin theta and cos theta if cot theta = 3/7 and sec theta is < 0

  1. Trigonometry

    Let (7,-3) be a point on the terminal side of theta. Find the exact values of cos of theta, sec of theta and cot of theta?

  2. 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.

  3. Pre-Calculus

    1.) Which of the following polar equations is equivalent to the parametric equations below? x=t^2 y=2t A.) r=4cot(theta)csc(theta) B.) r=4tan(theta)sec(theta) C.) r=tan(theta)sec(theta)/4 D.) r=16cot(theta)csc(theta) 2.) Which

  4. math

    Let theta be an angle in quadrant IV such that sin(theta)=-(2)/(5). Find the exact values of sec(theta) and tan(theta).

  1. math;)

    What is a simplified form of the expression (sec^3 theta) - (sec theta/cot^2 theta)? a. 0 b. sec theta-tan theta c. cos theta d. sec theta***** Every time I attempt to work out this problem I end up with one. I know the answer is

  2. math;)

    Julia wants to simplify the term sec^2 theta-1/cot^2 theta+1 in a trigonometric identity that she is proving. Which of the following identities should use to help her? Select all that apply. (2 ANSWERS) a. sin^2 theta+cos^2

  3. Math (Polar to Cartesian Equations)

    Convert the given polar equation to a Cartesian equation. r^2=4sec(theta)csc(theta)

  4. 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

You can view more similar questions or ask a new question.