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Eliminate the parameter t from the following. x 3 2 sin t, y = 4 + 2 cos t

Eliminate the parameter t from the following. x 3 2 sin t, y = 4 + 2 cos t

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
8th Edition
ISBN:9781305652224
Author:Charles P. McKeague, Mark D. Turner
Publisher:Charles P. McKeague, Mark D. Turner
Chapter7: Triangles
Section7.4: The Area Of A Triangle
Problem 37PS
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Eliminate the parameter t from the following. x 3 2 sin t, y = 4 + 2 cos t
Transcribed Image Text:Eliminate the parameter t from the following. x 3 2 sin t, y = 4 + 2 cos t
Expert Solution
Step 1

Given:

..(i) ...(ii) y 4+2cost
Step 2

Find the value of sin t from equation (i) and cos t form equation (ii)

sint ...(i) 2 y -4 ...(iv) cOst 2
Step 3

Squaring both side of the equation (iii) and (iv)

sin2t (x-3) 4 1 sin'tx+9-6x) ..v) 4 1 cos2t(y-4) cos't 16-8x) (vi) 4
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