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10 cards from this deck
They find sine, cosine, or tangent of angle sums or differences.
sin(A±B)=sinAcosB±cosAsinB\sin(A \pm B) = \sin A \cos B \pm \cos A \sin Bsin(A±B)=sinAcosB±cosAsinB
cos(A±B)=cosAcosB∓sinAsinB\cos(A \pm B) = \cos A \cos B \mp \sin A \sin Bcos(A±B)=cosAcosB∓sinAsinB
tan(A±B)=tanA±tanB1∓tanAtanB\tan(A \pm B) = \frac{\tan A \pm \tan B}{1 \mp \tan A \tan B}tan(A±B)=1∓tanAtanBtanA±tanB
sin(2θ)=2sinθcosθ\sin(2\theta) = 2 \sin \theta \cos \thetasin(2θ)=2sinθcosθ
cos(2θ)=cos2θ−sin2θ\cos(2\theta) = \cos^2 \theta - \sin^2 \thetacos(2θ)=cos2θ−sin2θ
tan(2θ)=2tanθ1−tan2θ\tan(2\theta) = \frac{2\tan \theta}{1 - \tan^2 \theta}tan(2θ)=1−tan2θ2tanθ
sin(θ2)=±1−cosθ2\sin(\frac{\theta}{2}) = \pm \sqrt{\frac{1 - \cos \theta}{2}}sin(2θ)=±21−cosθ
cos(θ2)=±1+cosθ2\cos(\frac{\theta}{2}) = \pm \sqrt{\frac{1 + \cos \theta}{2}}cos(2θ)=±21+cosθ
They convert products of sine and cosine into sums.
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