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10 cards from this deck
sin2θ+cos2θ=1\sin^2 \theta + \cos^2 \theta = 1sin2θ+cos2θ=1
1+tan2θ=sec2θ1 + \tan^2 \theta = \sec^2 \theta1+tan2θ=sec2θ and csc2θ=1+cot2θ\csc^2 \theta = 1 + \cot^2 \thetacsc2θ=1+cot2θ
cscθ=1sinθ\csc \theta = \frac{1}{\sin \theta}cscθ=sinθ1
secθ=1cosθ\sec \theta = \frac{1}{\cos \theta}secθ=cosθ1
cotθ=1tanθ\cot \theta = \frac{1}{\tan \theta}cotθ=tanθ1
tanθ=sinθcosθ\tan \theta = \frac{\sin \theta}{\cos \theta}tanθ=cosθsinθ
sin(A±B)=sinAcosB±cosAsinB\sin(A \pm B) = \sin A \cos B \pm \cos A \sin Bsin(A±B)=sinAcosB±cosAsinB
sinθ2=±1−cosθ2\sin \frac{\theta}{2} = \pm \sqrt{\frac{1 - \cos \theta}{2}}sin2θ=±21−cosθ
cos(−θ)=cos(θ)\cos(-\theta) = \cos(\theta)cos(−θ)=cos(θ) (cosine is even)
cos2θ=cos2θ−sin2θ\cos 2\theta = \cos^2 \theta - \sin^2 \thetacos2θ=cos2θ−sin2θ
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