Answer:2
Step-by-step explanation:
Use the trig identity
2*sin(A)*cos(A) = sin(2*A)
to get
sin(A)*cos(A) = (1/2)*sin(2*A)
So to find the max of sin(A)*cos(A), we can find the max of (1/2)*sin(2*A)
It turns out that sin(x) maxes out at 1 where x can be any expression you want. In this case, x = 2*A.
So (1/2)*sin(2*A) maxes out at (1/2)*1 = 1/2 = 0.5
The greatest value of sin(A)*cos(A) is 1/2 = 0.5
We want to calculate the following

Using the properties of exponents, we have that

So we have

So, if factor 10^-4 on the right side, we have

Note that

Then,

So we have that
Answer:y=10
Step-by-step explanation: