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10 cards from this deck
Identify functions and involved identities like sine and cosine.
Use sum/difference identities to expand or factor them.
sin2θ=2sinθcosθ\sin 2\theta = 2\sin \theta \cos \thetasin2θ=2sinθcosθ.
Utilize product-to-sum identities to simplify products.
Rearrange the equation to isolate the function on one side.
Used for integrals involving square roots or quadratics.
θ=θ0+360°n\theta = \theta_0 + 360°nθ=θ0+360°n or θ=180°−θ0+360°n\theta = 180° - \theta_0 + 360°nθ=180°−θ0+360°n.
Substitute back to verify solutions satisfy original equation.
sin(A±B)=sinAcosB±cosAsinB\sin(A \pm B) = \sin A \cos B \pm \cos A \sin Bsin(A±B)=sinAcosB±cosAsinB.
Rcos(θ±α)=acosθ+bsinθR \cos(\theta \pm \alpha) = a \cos \theta + b \sin \thetaRcos(θ±α)=acosθ+bsinθ, with RRR defined.
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