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In this TikTok animation, I take you on a visual journey to the heart of trigonometry: starting from the unit circle, I progressively reveal \\sin and \\cos as the natural geometric projections of a rotating point, then \\tan and \\cot as lengths arising from tangent lines, highlighting their deep connection with ratios in a right triangle; I then broaden the perspective with lesser-known yet fascinating functions such as the exsecant (exsec) and the coversine (covercos), showing how they emerge
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