1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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
You might be interested in
Ella wanted to order candy online.company A is offering 2 2/4 pounds of chocolate for $32.50 while company B is offering 2 3/4 p
lubasha [3.4K]

Answer:

Company B

Step-by-step explanation:

Company A is offering 2.5 pounds of chocolate in $32.5 while Company B is offering 2.75 pounds of chocolate in the same price

Per pound of company A=32.5/2.5

Company A per pound=$13

Per pound of company B=32.5/2.75

B=$11.8

Hence company B is offering the lowest price per pound

8 0
3 years ago
What is the Median of this?
Alexeev081 [22]
First, sort the sumbers in order from the least value to the greatest value.

37, 45, 59, 67, 76, 68, 77, 78, 82, 82, 84, 84, 85, 85, 88, 90, 91, 91, 92, 92, 93, 95, 100, 100

There 24 scores listed. Divide 24 by 2 and you get 12.. Find the 12th number in the ordered list from the least value, which is the number 84. Find the 12th score in the ordered list from the large value, which is 85.
Because there are two central numbers, add the two central numbers and divide it by 2.

84+85=169
169/2=84.5
6 0
3 years ago
Read 2 more answers
Consider the diagram below.<br> 42°<br> 18<br> y<br> Find x. Round to the nearest whole number!
OleMash [197]

Answer:

step by step Explanation:

Since this is a right triangle,

We can find the length b by using the Pythagoras theorem

a2+b2=c2

Plugin the values

→22+b2=62

→4+b2=36

→b2=32

Take the square root of both sides

→√b2=√32

→b=√16⋅2

⇒b=4√2

8 0
2 years ago
Alain throws a stone off a bridge into a river below. The stone's height (in meters above the water), xxx seconds after Alain th
Naya [18.7K]
For this case we have the following function:
 h (x) = - 5x ^ 2 + 10x + 15&#10;
 By the time the stone is thrown, x = 0.
 We must evaluate this value of x in the function.
 We have then:
 h (0) = - 5 (0) ^ 2 + 10 (0) +15&#10;&#10;h (0) = 0 + 0 + 15&#10;&#10;h (0) = 15 meters
 Answer:
 The height of the stone at the time is thrown is given by:
 h (0) = 15 meters
4 0
3 years ago
Read 2 more answers
How do I solve for r
White raven [17]
To solve for R you use PEMDAS
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the additive inverse of 16 5/7 ? A.-16 7/5 B..-16 5/7 C.16 7/5 D. -16
    13·1 answer
  • How does 0.03 compare to 0.003?
    11·2 answers
  • Stefanie is planning a 610-mile trip. Her car’s EPA rating is 34 mpg on the highway. How many gallons of gas will she require fo
    13·1 answer
  • Global Gas International offers to contract the Halidurton Heavy Construction Corporation to build an oil pipeline from Canada t
    11·1 answer
  • Fred has a spinner that is split into four equal sections: red, blue, green, and yellow. Fred spun the spinner 688 times. Which
    9·2 answers
  • The dewey civic center has 2500 seats. Tickets for 72% of the yotal number of seats were sold. How many tickets were sold?
    8·1 answer
  • Write these numbers in order from least to greatest <br> 0.65, 2/3, 3/5 , 0.5
    6·1 answer
  • In the figure, j∥k and m∠1 = 65°.<br><br> What is the m∠6 ?
    8·1 answer
  • Write in slope-intercept form an equation of a line that passes through the given points. (1,6) and (3,2)
    6·1 answer
  • Answer with evidence I give points and brainiest and friend me for personal points
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!