Parametrize the intersection of the surfaces y² - z² = x - 1, y² + z² = 36 using trigonometric functions. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the parametrization of the y variable in the form a cos(t).) x(t) = 36 cos (2t - 1) Incorrect y(t) = z(t) = 6 cos (t) 6 sin (t)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 44E
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Parametrize the intersection of the surfaces y² − z² = x − 1, y² + z² = 36 using trigonometric functions.
(Express numbers in exact form. Use symbolic notation and fractions where needed. Give the parametrization of the y variable
in the form a cos(t).)
x(t)
Incorrect
y(t) =
z(t)
=
=
=
36 cos (2t - 1)
6 cos (t)
6 sin (t)
Transcribed Image Text:Parametrize the intersection of the surfaces y² − z² = x − 1, y² + z² = 36 using trigonometric functions. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the parametrization of the y variable in the form a cos(t).) x(t) Incorrect y(t) = z(t) = = = 36 cos (2t - 1) 6 cos (t) 6 sin (t)
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