## Trigonometry (11th Edition) Clone

$$\sec\theta-\cos\theta=\tan\theta\sin\theta$$
$$A=\sec\theta-\cos\theta$$ - Reciprocal Identities: $$\sec\theta=\frac{1}{\cos\theta}$$ Replace into $A$: $$A=\frac{1}{\cos\theta}-\cos\theta$$ $$A=\frac{1-\cos^2\theta}{\cos\theta}$$ - Pythagorean Identities: $$\sin^2\theta=1-\cos^2\theta$$ Replace into $A$: $$A=\frac{\sin^2\theta}{\cos\theta}$$ $$A=\frac{\sin\theta}{\cos\theta}\times\sin\theta$$ - Quotient Identities: $$\tan\theta=\frac{\sin\theta}{\cos\theta}$$ Replace into $A$: $$A=\tan\theta\sin\theta$$