Given the conic section $r = frac{5}{8 + 8sin( heta)}$, find the x and y intercept(s) and the focus(foci). Intercept(s): Focus(foci): Give answers as a list of one or more ordered pairs, separated by commas.
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The equation given is in polar form, so we can convert it to Cartesian form using the identity r^2 = x^2 + y^2: 8 + 8 sin(θ) = r 8 + 8 sin(θ) = √(x^2 + y^2) 64 + 64 sin^2(θ) = x^2 + y^2 This is the equation of a circle centered at the origin with radius √(64 + Show more…
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