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Calculate sin(2θ), cos(2θ), and tan(2θ) using the double angle formulas.
When you need to find trig values of 2θ but only know the values for θ. Common in integration, physics, and solving trig equations.
They're all equivalent (using sin² + cos² = 1). Choose based on what you know: use 2cos²θ - 1 if you only know cosine, or 1 - 2sin²θ if you only know sine.