Ch 7 Trigonometric functions

$$\frac{\pi}{80}$$  

$$\frac{4\pi}{9}$$  

$$\frac{\pi}{8}$$  

$$\frac{2\pi}{9}$$  

$$\frac{5\pi}{3}$$  

$$\frac{4\pi}{3}$$  

$$\pi$$  

$$\frac{2\pi}{3}$$  

amplitude $$2$$  

period $$4\pi$$  

amplitude $$2$$  

period $$1$$  

amplitude $$\pi$$  

period $$\frac{\pi}{2}$$  

amplitude $$2$$  

period $$4$$  

$$0$$  

$$1$$  

$$2$$  

$$3$$  

$$\cos2x+2x\sin2x$$  

$$2\cos2x$$  

$$\sin2x$$  

$$\sin2x+2x\cos2x$$  

$$36$$  

$$12\ \sqrt[]{3}$$  

$$12$$  

$$9$$  

$$y+\frac{\pi\ \sqrt[]{3}}{6}=\frac{6}{3\ \sqrt[]{3}+\pi}\left(x+\frac{\pi}{3}\right)$$  

  $$y-\frac{\pi\ \sqrt[]{3}}{6}=-\frac{6}{3\ \sqrt[]{3}+\pi}\left(x-\frac{\pi}{3}\right)$$  

$$y+\frac{\pi\ \sqrt[]{3}}{6}=\frac{3\ \sqrt[]{3}+\pi}{6}\left(x+\frac{\pi}{3}\right)$$  

$$y-\frac{\pi\ \sqrt[]{3}}{6}=\frac{3\ \sqrt[]{3}+\pi}{6}\left(x-\frac{\pi}{3}\right)$$  

$$2\sin2x-3\cos x$$  

$$\sin2x+3\cos x$$  

$$2\sin2x+3\cos x$$  

$$\sin2x-3\cos x$$  

$$2$$  

$$0$$  

$$4$$  

$$1$$  

$$\frac{1}{2}\left(\sqrt[]{3}-1\right)$$  square units

$$1$$  square unit

$$\left(\sqrt[]{2}-1\right)$$  square units

$$\sqrt[]{2}$$  square units