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General equations for a circle Prove that the equations
Chapter 8, Problem 89AE(choose chapter or problem)
QUESTION:
Prove that the equations
x = a cos t + b sin t, y = c cos t + d sin t
where a, b, c, and d are real numbers, describe a circle of radius R provided \(a^2+c^2=b^2+d^2=R^2\) and ab + cd = 0.
Questions & Answers
QUESTION:
Prove that the equations
x = a cos t + b sin t, y = c cos t + d sin t
where a, b, c, and d are real numbers, describe a circle of radius R provided \(a^2+c^2=b^2+d^2=R^2\) and ab + cd = 0.
ANSWER:Solution 89AE
Step 1:
In this problem we have to prove given equations represent a circle of radius if
and ab + cd = 0
Given:
Consider