# MATH help

sketch + describe graph of the curve parametrized by:

x=1-3cos^(2)t
y=-2+4sin^(2)t
-infinity less than t less than infinity

how would i go about solving this.
i know that usually i can solve for t and than plug that in. But for this, i tried using cos^2 + sin^2 = 1... but i'm stuck

1. 👍 0
2. 👎 0
3. 👁 101
1. cos^2(t)=(1-x)/3
sin^2(t)=(y+2)/4

1=(1-x)/3+(y+2)/4
12=4-4x+3y+6
y=(4/3)x+2/3

1. 👍 0
2. 👎 0
2. i don't really understand parametrized curves. but isn't y=(4/3)x +(2/3) a straight line. So, it doesn't have to be a curve?

1. 👍 0
2. 👎 0
3. Straight line is a special case of the curve just like the natural numbers are a special case of integers

1. 👍 0
2. 👎 0

## Similar Questions

1. ### Math (Calculus)

Find the positive value of the parameter t corresponding to a point on the curve parametrized by {x= t^2 +3 ; y=t^2+t for which the tangent line passes through the origin. I tried with 2t+3 and 2t+1 but it isn't successful

asked by Anonymous on May 30, 2016
2. ### Calculus

Find the arc length of the curve which is parametrized in three dimensions by x(t) = e^t cost , y(t) = e^t sint , z(t) = e^t where 0

asked by Anonymous on June 23, 2020
3. ### Calculus 3

Determine whether the lines intersect(have a common point) and if so, find the coordinates of that point? r(t) = < 4t+3, 4t + 2, 6t + 6>, for -infinity < t < infinity R(s) = < s + 2, 3s - 1, -4s + 10>, for -infinity < t < infinity

asked by Z32 on February 18, 2011
4. ### Calculus

Sketch the graph of the function that has the following properties. f is continuous on (-infinity, infinity). points: (-1,2), (0, 0), (-1,0) f'(x)>0 at (-infinity, -1) f'(-1)=0 f'(x)0 on (1, infinity) f"(x)0 on (0, infinity) I'm

asked by Sarah on June 30, 2016
5. ### HS Calculus/math

x=2sint y=-3cost 0

asked by ee on October 31, 2008
1. ### Math

Which describes the end behavior of the graph of the function f(x)=-2x^3-5x^2+x? a. f(x) approaches infinity as x approaches negative infinity and f(x) approaches infinity as x approaches infinity b. f(x) approaches negative

asked by Girly Girl on October 29, 2017
2. ### Calculus

a) Estimate the area under the graph of f(x)=7+4x^2 from x=-1 to x=2 using three rectangles and right endpoints. R3= ???? Then improve your estimate by using six rectangles. R6= ????? Sketch the curve and the approximating

asked by TANYA on April 23, 2014
3. ### calc

Suppose a curve is traced by the parametric equations x=1sin(t) y=18-3cos^2(t)-4sin(t) At what point (x,y) on this curve is the tangent line horizontal?

asked by alexis on October 30, 2008
4. ### Statistics

(GRAPH) Sketch a normal curve that has a mean of 15 and a standard deviation of 4. On the same x-axis, sketch another normal curve that has a mean of 25 and a standard deviation of 4. Describe the two normal curves.

asked by Sylvia on March 3, 2018
5. ### Calculus

Consider the curve defined by y + cosy = x +1 for 0 =< y =< 2pi.... a. Find dy/dx in terms of y. *I got 1/(y-siny) but I feel like that's wrong. b. Write an equation for each vertical tangent to the curve. c. find d^2y/dx^2 in

asked by Penny on January 24, 2012
6. ### Calculous

Describe in words the long run behavior as x approaches infinity of the function y = 6x^6 + (4x^4/x^-9) -9x^7+3 I know y goes to positive infinity as x approaches infinity The graph resembles ? (is it 4x^5) I tried simplifying

asked by Tyler on December 4, 2014