Eliminate the parameter 0 in the following parametric equations. (This curve is called a hyperbola.)x = a cot(0)y = b csc(0)First,x = a cot(0)y = b csc(0)= cot(0)= csc(e)andcot2(0)csc2(e)=Using a Pythagorean Identity, we see thatcot2(0) =csc2(0) – 1x2- 1a2= 1,which is the equation of a hyperbola.

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Eliminate the parameter 0 in the following parametric equations. (This curve is called a hyperbola.) x = a cot(0) y = b csc(e) First, x = a cot(0) y = b csc(0) = cot(0) = csc(0) and = cot2(0) csc2(0) Using a Pythagorean Identity, we see that cot2(0) = csc2(0) – 1 x2 a2 - 1 1, %3D which tho

Eliminate the parameter 0 in the following parametric equations. (This curve is called a hyperbola.) x = a cot(0) y = b csc(e) First, x = a cot(0) y = b csc(0) = cot(0) = csc(0) and = cot2(0) csc2(0) Using a Pythagorean Identity, we see that cot2(0) = csc2(0) – 1 x2 a2 - 1 1, %3D which tho

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 12T

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Question

Eliminate the parameter 0 in the following parametric equations. (This curve is called a hyperbola.)
x = a cot(0)
y = b csc(0)
First,
x = a cot(0)
y = b csc(0)
= cot(0)
= csc(e)
and
cot2(0)
csc2(e)
=
Using a Pythagorean Identity, we see that
cot2(0) =
csc2(0) – 1
x2
- 1
a2
= 1,
which is the equation of a hyperbola.

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