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agasfer [191]
3 years ago
6

The greatest value of sinA.cosA is

Mathematics
2 answers:
scZoUnD [109]3 years ago
7 0
Remark
I can't imagine you having to solve this question any other way than by graphing it, if you are in middle school mathematics.

Step One
Go to Desmos. Input y = sin(A)*Cos(A) on the input bar.

Step Two
Check to see where the highest point is. It should be somewhere around 45 degrees or pi/4 which is 0.7854 on the x axis. 

Step Three 
On my graph, you can click on the greatest point on the red line. It should come back with (pi/4,0.5) That is the highest point between 0 and 90 degrees. Depending on what your graph looks like, there is another such point a (5*pi/4,0.5)

Note
The other responder did this question using Trigonometry. If you understand the answer, I would follow it. If not then this is another way to do it. 

-BARSIC- [3]3 years ago
4 0
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
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16 increased by twice a number is -24 what is the solution?
Lynna [10]

Let x = the number.

"increased by" tells you we are adding.

"twice a number" tells you 2 times a number.

16 + 2x = - 24

Subtract 16 from both sides so that we have the variable on one sides and the constants on the other.

2x = - 24 - 16

2x = - 40

Divide by 2 to isolate the variable.

x = - 40/2 = - 20

Your solution is - 20.

To check your answer, plug in.

16 + 2(-20) = - 24

16 - 40 = - 24

- 24 = - 24

3 0
3 years ago
Jaclyn is selling cookies for her club. She sells 2 boxes for $5. What unit rate expresses the cost per box?
Amiraneli [1.4K]
Divide 5 by 2 representing each box by the price. Which equals to $2.50 each box.
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3 years ago
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kirill115 [55]

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6 0
3 years ago
Read 2 more answers
-x - 11 and the opposite of -11
likoan [24]

Answer:

The opposite of -11 is 11, and I dont understand what else you're asking

Step-by-step explanation:

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3 years ago
Select the values that make the inequality h < 2 true.
weqwewe [10]

Given:

The inequality is:

h\leq 2

To find:

The values that make the given inequality true.

Solution:

We have,

h\leq 2

It means the value of h must be less than or equal to 2.

In the given options, the list of numbers which are less than or equal to 2 is

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Therefore, the first 8 options are correct and the required values are -6, -3, -1, 1, 1.9, 1.99, 1.999, 2.

3 0
3 years ago
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