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

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

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

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If x = a sin θ + b cos θ and y = a cos θ – b sin θ, then prove that x2 + y2 = a2 + b2. - GeeksforGeeks

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