Sines and cosines are orthogonal to each other: plot of sin θ vs. cos θ
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![](https://www.researchgate.net/publication/310591953/figure/fig2/AS:963454265487388@1606716805340/Sines-and-cosines-are-orthogonal-to-each-other-plot-of-sin-th-vs-cos-th-upper-left.gif)
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TIL that Sine and Cosine are merely 2D orthogonal projections of the 3D unit helix. This just blew my mind : r/todayilearned
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If a sin θ - b cos θ = c then prove that a cos θ + b sin θ = ± √(a2 + b2 - c2). - GeeksforGeeks
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