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10 cards from this deck
sin(2θ)=2sin(θ)cos(θ)\sin(2\theta) = 2\sin(\theta)\cos(\theta)sin(2θ)=2sin(θ)cos(θ)
Three forms: cos2(θ)−sin2(θ)\cos^2(\theta) - \sin^2(\theta)cos2(θ)−sin2(θ), 2cos2(θ)−12\cos^2(\theta) - 12cos2(θ)−1, 1−2sin2(θ)1 - 2\sin^2(\theta)1−2sin2(θ)
tan(2θ)=2tan(θ)1−tan2(θ)\tan(2\theta) = \frac{2\tan(\theta)}{1 - \tan^2(\theta)}tan(2θ)=1−tan2(θ)2tan(θ)
sin(2θ)=24/25\sin(2\theta) = 24/25sin(2θ)=24/25
cos(2θ)=2cos2(θ)−1\cos(2\theta) = 2\cos^2(\theta) - 1cos(2θ)=2cos2(θ)−1
θ=22.5°\theta = 22.5°θ=22.5° or 112.5°112.5°112.5°
Simplifying trigonometric expressions.
They simplify integrals and derivatives.
cos(3θ)=4cos3(θ)−3cos(θ)\cos(3\theta) = 4\cos^3(\theta) - 3\cos(\theta)cos(3θ)=4cos3(θ)−3cos(θ)
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