Question

(23) If $x = a(1 - \cos \theta)$ and $y = a \sin \theta$, show that $x^2 + y^2 = 2ax$ (24) If $x = a \cos \theta - b \sin \theta$ and $y = a \sin \theta + b \cos \theta$, find $x^2 + y^2$ in terms of $a$ and $b$

          (23) If $x = a(1 - \cos \theta)$ and $y = a \sin \theta$, show that $x^2 + y^2 = 2ax$
(24) If $x = a \cos \theta - b \sin \theta$ and $y = a \sin \theta + b \cos \theta$, find $x^2 + y^2$ in terms of $a$ and $b$

(23) If x = a(1 - cosθ) and y = a sinθ, show that x^2 + y^2 = 2ax
(24) If x = a cosθ - b sinθ and y = a sinθ + b cosθ, find x^2 + y^2 in terms of a and b

Added by Amber L.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Keondre Parker

Step 1

So, x^2 + y^2 = (a(1 - cos 0))^2 + (a sin 0)^2 = a^2(1 - 2cos 0 + cos^2 0 + sin^2 0) = a^2(2 - 2cos 0) = 2a^2(1 - cos 0) = 2ax Show more…

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(23) If x a( 1 - cos 0) and y a sin 0,show that x2 + y2 Zax (24) If x a cos 0 - b sin 0 and y y2 in terms of a and b a sin 0 b cos 0 , find x2

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Question

(23) If $x = a(1 - \cos \theta)$ and $y = a \sin \theta$, show that $x^2 + y^2 = 2ax$ (24) If $x = a \cos \theta - b \sin \theta$ and $y = a \sin \theta + b \cos \theta$, find $x^2 + y^2$ in terms of $a$ and $b$

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