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
igomit [66]
3 years ago
5

Simplify the expression by using a double angle formula cos^2 4theta-sin^2 4theta

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
Double angle formula for cos(2x) is
cos(2x)=cos^2(x)-sin^2(x)

Substitute x=4theta, then
cos(8theta)=cos^2(4theta)-sin^2(4theta)
=>
cos^2(4theta)-sin^2(4theta) = cos(8theta)
You might be interested in
If g(X) = 2x-1 , then what is g(3)?
Tanzania [10]
2(3)-1
6-1
5
Good luck :)
7 0
2 years ago
While grading her students' most recent quiz on equation solving, Mrs. Jones calculated that approximately forty percent of her
EastWind [94]

The given equation is,

3(-n+4)+5n=2n

Part 1:

Solve the above equation for n.

Using distributive property of multiplication,

\begin{gathered} -3n+3\times4+5n=2n \\ -3n+12+5n=2n \end{gathered}

Now, group the like terms.

-3n+5n-2n+12=0

Now, add the like terms.

\begin{gathered} -5n+5n+12=0 \\ 0=-12 \end{gathered}

0=-12 is a false statement.

Since we obtained a false statement, the given equation has no solution.

So, option b is correct.

Part 2:

The option (a) is n=3.

If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.

The option (b) is "no solution".

While solving an equation, if we obtain an equation which is mathematically false, then the equation will have no solution. So, no solution is chosen when no value is obtained for n and the final equation is mathematically false.

The option (c) is "infinitely many solutions".

While solving an equation, if we obtain an equation which is mathematically correct such as 0=0, 7=7 etc., then the equation will have infinietly many solutions. So, infinitely many solutions is chosen when no value is obtained for n and the final equation is mathematically correct.

8 0
10 months ago
the area of a parallelogram os 150 square meters the height of the parallelogram is 15 meters what is the length of the parallel
lys-0071 [83]
The length is 10 meters.

150 divided by 15 is 10.

Hope this helps!
3 0
3 years ago
Jovani wanted to switch gyms. Fitness 19 charges a one time $39 cleaning fee and $17 per
Alexxx [7]

Answer:

Hi there!

Your answer is:

It will take 2.2 months for both gyms to be the same amount of money!

Step-by-step explanation:

Fitness 19:

39+ 17x

Anytime Fitness:

50+ 12x

Put them equal to each other:

39+17x = 50+12x

-12x

39+5x = 50

-39

5x = 11

/5

x= 2.2 months

39+17(2.2)= 76.4$

50+12(2.2)= 76.4$

Hope this helps!

8 0
2 years ago
Read 2 more answers
I NEED HELP
PIT_PIT [208]
A cause she measured the side of it
5 0
2 years ago
Read 2 more answers
Other questions:
  • What happens when I have a - x in a equation but I have a positive pair in a graph?
    11·1 answer
  • 11 cm<br> 1 cm<br> What is the volume
    7·1 answer
  • ➡️16 cm/hr = m/min⬅️
    9·1 answer
  • PLZ ANSWER ASAP. DUE IN 1 HOUR. DIRECTIONS ARE ON THE SCREENSHOT
    9·1 answer
  • Write a world sentence for the aquation x -14 = 52
    12·1 answer
  • A tunnel is in the shape of a parabola. The maximum height is 31 m and it is 13 m wide at the base as shown below.
    10·1 answer
  • the width of a rectangle is 5 inches less than the length. The area is 80 square inches. Find the length and the width.
    6·1 answer
  • 6th grade math plz help
    11·1 answer
  • Find the roots of the following equations: x-1/X=3,X is not equal to zero.​
    6·1 answer
  • The sum twice a number and 7, OMG I NEED HELP WITH THIS QUESTION SO I won't FAIL the test grades are due tomorrow
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!