Question

Please help!!!

Eliminate the parameter.

x = 4 cos t, y = 4 sin t

Answer 1

@hartnn @ganeshie8

Answer 2

Square and add.
basically we are using the identity \(\sin^2 a+\cos^2a=1\)

Answer 3

x=4cos t
cos t =x/4

similarly sin t = y/4

cos^2 t +sin^2 t =1
x2 /16 + y2/16 =1

x2 + y2 =16

Answer 4

yes^

Answer 5

wait so it should be y= 4 sin x/4 ?

Answer 6

because it has to be the equation of y

Answer 7

no no,
first, square both the equations, what u get ?

Answer 8

16?

Answer 9

x = 4 cos t, -----> x^2 = 16 cos^2 t ----> (1)
y = 4 sin t ------> y^2 = 16 sin^2 t ----->(2)
got this ?

Answer 10

okay

Answer 11

now just add (1) and (2)

Answer 12

okay I got it now lol :) thanks!

Answer 13

welcome ^_^