Sum & Difference, Double Angle, Half Angle

cos(32°)

cos(60°)

sin(32°)

sin(60°)

$$\frac{1}{4}$$

$$\frac{1}{2}$$

$$\frac{\sqrt{3}}{2}$$

$$\sqrt{3}$$

$$\sin\alpha\cos\alpha+\sin\beta\cos\beta$$  

$$\sin\alpha\cos\alpha-\sin\beta\cos\beta$$  

$$\sin\alpha\cos\beta+\cos\alpha\sin\beta$$  

$$\sin\alpha\cos\beta-\cos\alpha\sin\beta$$  

$$\frac{\tan\alpha+\tan\beta}{1-\tan\alpha\tan\beta}$$  

$$\frac{\tan\alpha-\tan\beta}{1-\tan\alpha\tan\beta}$$  

$$\frac{\tan\alpha+\tan\beta}{1+\tan\alpha\tan\beta}$$  

$$\frac{\tan\alpha-\tan\beta}{1+\tan\alpha\tan\beta}$$  

$$\frac{1}{\cos\theta}$$  

$$\frac{1}{\sin\theta}$$  

$$\frac{1}{\sec\theta}$$  

$$\frac{1}{\csc\theta}$$  

$$\frac{1}{\cot\theta}$$  

$$\frac{1}{\cos\theta}$$  

$$\frac{1}{\sin\theta}$$  

$$\frac{1}{\sec\theta}$$  

$$\frac{1}{\csc\theta}$$  

$$\frac{1}{\cot\theta}$$  

$$\sec^2\theta$$  

1

$$\csc^2⁡θ$$  

$$2\cos^2\theta-1$$  

$$2\sin\theta\cdot\cos\theta$$  

$$2\cos^2⁡θ-1$$  

$$1-2\sin^2⁡θ$$  

$$\cos^2⁡θ-\sin^2⁡θ$$  

$$\frac{2\tan\theta}{1-\tan^2\theta}$$  

$$\frac{\sin\theta}{1+\cos\theta}$$  

$$1-\frac{\cos\theta}{\sin\theta}$$  

$$\frac{1-\cos2\theta}{2}$$  

  $$1-2\sin^2\theta$$  

$$2\cos^2\theta-1$$   

$$\cos^2\theta-\sin^2\theta$$   

$$\cos^2\theta+\sin^2\theta$$