trigonometry 列明步驟有20分

For (1),(2),(3), normally is read from graph. If using calculation, it is relatively difficult.

(4) Max of 8sin x=8 because max of sinx=1
Min of 8sin x = -8 because min of sin x=-1

(5) Max of 1/3 cos x=1/3 because max of cosx=1
Min of 1/3 cos x = -1/3 because min of cos x=-1

(6) Max of 3cos x=3 because max of cos x=1
Min of 3 cos x = -3 because min of cos x=-1

(7) Max of 1/2 sin 2x= 1/2 because max of sin2x=1
Min of 1/2 sin 2x = -1/2 because min of sin 2x=-1

Hoping this can help you

因y=Atan(ωx+φ)是以180度為周期的函數,所以周期T=180度/ω
而y=Acos(ωx+φ)是以360度為周期的函數,所以周期T=360度/ω
1.周期T=180度/1=180度
2.周期T=360度/1=360度
3.周期T=360度/1=360度

4.-1<=sinx<=1
-8<=8sinx<=8
max=8
min=-8

5.-1<=cosx<=1
-1/3<=1/3cosx<=1/3
max=1/3
min=-1/3

6.-1<=cosx<=1
-3<=3cosx<=3
max=3
min=-3

7.-1<=sin2x<=1
-1/2<=1/2sin2x<=1/2
max=1/2
min=-1/2