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
X=7
(15x+3)=108
x=7
if you plug 7 in for x
(15(7)+3) it equals 108
Answer:
101
Step-by-step explanation:
To figure this out, you would do 167 - 66 = 101
101 + 66 = 167
The steps and final answer is shown in the attached image. I wrote it there so I could write out complex algebraic formulas. Let me know if you have any questions about any of the steps. Thank you.
Answer: 2 committees
Step-by-step explanation: 7 cant be divided evenly by 3. only two times. Only 2 groups can be fully formed.