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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
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
tanθ=sinθcosθ\tan \theta = \frac{\sin \theta}{\cos \theta}tanθ=cosθsinθ
sin2θ=2sinθcosθ\sin 2\theta = 2\sin \theta \cos \thetasin2θ=2sinθcosθ
The more complex side
Convert everything to sine and cosine
LHS = RHS
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