急! F4 Basic Trigonometry ex4

2012-10-20 7:59 am
請詳細步驟教我計下條 :
(不要綱址回答)

Find the maximum and minimum values of sine and cosine functions :
1. y=2sin3x-7
2. y=6cos(4x-110度)
3. y=(2sinx-3)^2
4. y=5+4cos^2(x+40度)

一定要計法步驟. 唔該.

回答 (1)

2012-10-20 3:45 pm
✔ 最佳答案
Find the maximum andminimum values of sine and cosine functions :
1. y=2Sin3x-7
Sol
-1<=Sin3x<=1
-2<=2Sin3x<=2
-2-7<=2Sin3x-7<=2-7
-9<=y<=-5

2. y=6Cos(4x-110度)
Sol
-1<=Cos(4x-110度)<=1
-6=6Cos(4x-110度)<=6
-6<=y<=6

3. y=(2Sinx-3)^2
Sol
-1<=Sinx<=1-2<=2Sinx<=2
-5<=2Sinx-3<=-1
1<=(2Sinx-3)<=25
1<=y<=25

4. y=5+4Cos^2(x+40度)
Sol
0<=Cos^2(x+40度)<=1
0<=4Cos^2(x+40度)<=4
5+0<=5+4Cos^2(x+40度)<=5+4
5<=y<=9




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