Sines and cosines are orthogonal to each other: plot of sin θ vs. cos θ

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Determine whether the statement is true or false. The graph of r = 1 + 2 cos theta is a limacon with an inner loop.

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Sines and cosines are orthogonal to each other: plot of sin θ vs. cos θ

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Tivadar Danka on X: This will surprise you: sine and cosine are orthogonal to each other. What does orthogonality even mean for functions? In this thread, we'll use the superpower of abstraction