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10 cards from this deck
Multiple angles, compound angles, double-angle identities
2sinθcosθ2\sin \theta \cos \theta2sinθcosθ
2cos2θ−12\cos^2 \theta - 12cos2θ−1
12[cos(A−B)−cos(A+B)]\frac{1}{2}[\cos(A-B) - \cos(A+B)]21[cos(A−B)−cos(A+B)]
For quadratic forms, e.g., sin2θ\sin^2 \thetasin2θ and sinθ\sin \thetasinθ
θ=θ0+180∘n\theta = \theta_0 + 180^\circ nθ=θ0+180∘n
θ=θ0+360∘n\theta = \theta_0 + 360^\circ nθ=θ0+360∘n
When squaring both sides or using certain identities
Rcos(θ±α)R\cos(\theta \pm \alpha)Rcos(θ±α)
R=a2+b2R = \sqrt{a^2+b^2}R=a2+b2, tanα=ba\tan\alpha = \frac{b}{a}tanα=ab
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