I need your help for these problems:
1.Which is the max and min value of this function:
a) y=1/(2+sinx) b)y=sin(cosx) c)y=3sin(x+5)
2.Solve this equation:
sinx+siny=2
3.Demonstrate that in the trigonometric circle tgx=y(T)
Sorry for my english.
I need your help for these problems:
1.Which is the max and min value of this function:
a) y=1/(2+sinx) b)y=sin(cosx) c)y=3sin(x+5)
2.Solve this equation:
sinx+siny=2
3.Demonstrate that in the trigonometric circle tgx=y(T)
Sorry for my english.
Hello,
Remember that -1<sin(x)<1y=1/(2+sinx)
So 1<2+sin(x)<3
As 2+sin(x) is always positive, 1>1/(2+sin(x))>1/3
And you have the min & max
-1<cos(x)<1y=sin(cosx)
But -1>-pi/2 and 1<pi/2, and we know that sin is an increasing function in [-pi/2,pi/2]
So sin(-pi/2) < sin(-1) < sin(cos(x)) < sin(1) < sin(pi/2)
For the third one, it's basic if you use the condition of the first question.
For the fourth one, it's also the same property you'll have to use.