Find the corresponding rectangular equation represented by the parameteric equations; x=1+sec theta and y=2 + tan theta by eliminating the parameter.

ahredent89 2022-08-04 Answered
Find the corresponding rectangular equation represented by the parameteric equations; x = 1 + sec θ   a n d   y = 2 + tan θ by eliminating the parameter.
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Answers (1)

Luna Wells
Answered 2022-08-05 Author has 19 answers
it can be written as x 1 = sec θ...(1)
y 2 = tan θ...(2)
squaring on both sides eqns (1) and (2)and subtracting
( x 1 ) 2 ( y 2 ) 2 = sec 2 θ tan 2 θ
x 2 + 1 2 x y 2 4 4 y = 1       ( sec 2 tan θ tan 2 θ = 1 )
x 2 y 2 2 x 4 y 4 = 0
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