Selang Kemonotonan Kurva Fungsi trigonometri

$$f\left(x\right)>0$$

$$f'\left(x\right)<0$$

$$f\left(x\right)<0$$

$$f'\left(x\right)>0$$

$$f'\left(x\right)=0$$

$$f'(x)=1-2\cos⁡x$$  

$$f'(x)=1+2\cos⁡x$$  

$$f'(x)=2\sin⁡x$$  

$$f'(x)=-2\sin⁡x$$  

$$f'(x)=-\ \sin⁡2x$$  

0 < x < π/4

π/4 < x < π

π < x < 5π/4

π < x < 2π

0 < x < 2π

f'(x) > 0

f'(x) < 0

f'(x) = 0

f'(x) $$\le$$   0

$$90^0<x<300^0$$  

$$30^0<x<300^0$$  

$$60^0<x<330^0$$  

$$30^0<x<330^0$$  

$$60^0<x<300^0$$  

$$90^0<x<300^0$$  

0^o < x < 45^o dan 225^o < x < 360^o.

45^o < x < 225^o

0^o < x < 45^o saja

$$270\degree<x<330\degree$$  

0^o < x < 225^o

$$30\degree<x<90\degree\$$  

$$0\degree\le x<30\degree\$$  

$$150\degree<x<210\degree$$  

$$270\degree<x<330\degree$$  

$$0<x<\frac{\pi}{3}$$  

$$\frac{\pi}{3}<x<\pi$$  

$$\pi<x<\frac{4\pi}{3}$$  

$$0<x<\pi$$  

$$\frac{\pi}{3}<x<\frac{4\pi}{3}$$  

$$0\le x\le\frac{\pi}{3}$$  

$$\frac{\pi}{3}\le x\le\frac{4\pi}{3}$$  

$$\frac{\pi}{2}\le x\le\pi$$  

$$0\le x\le\frac{\pi}{3}\ dan\ \frac{4\pi}{3}\le x\le2\pi\$$  

$$0\le x\le\frac{\pi}{2}\ dan\ \frac{2\pi}{3}\le x\le2\pi$$