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
kozerog [31]
2 years ago
14

Use the power reduction formulas to rewrite the expression. (Hint: Your answer should not contain any exponents greater than 1.)

Mathematics
1 answer:
WINSTONCH [101]2 years ago
8 0

The formulas in question are

sin²(x) = (1 - cos(2x))/2

cos²(x) = (1 + cos(2x))/2

Then

sin⁴(4x) = (sin²(x))²

… = ((1 - cos(2x))/2)²

… = (1 - 2 cos(2x) + cos²(2x))/4

… = (1 - 2 cos(2x) + (1 + cos(4x))/2)/4

… = 1/4 - 1/2 cos(2x) + (1 + cos(4x))/8

… = 3/8 - 1/2 cos(2x) + 1/8 cos(4x)

You might be interested in
249 divide by 22 subtract by 60
Vinil7 [7]

Answer:

-48.6818182

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Two cars are 400 km apart. One car is traveling at 55 km/h and the other car is traveling at 45 km/h. If they start at the same
Alja [10]

Answer:

Two cars are 400 km apart. One car is traveling at 55 km/h, and the other cars are traveling at 45 km/h; if they start at the same time and are driving toward each other, the two cars will meet after 4 hours.

Solution:

Let the two-car be A and B.

Given that two cars are 400 km apart.  

Let us assume The distance traveled by A to meet B = x km.

 

The distance traveled by B can be found by subtracting the total distance x from a length is traveled by A.

So distance travelled by B = (400-x) km

Time taken will be the same for A and B

We know that,  we get

Let us consider the time taken by car. So time is taken by A to travel x km =

Similarly, time is taken by B to travel distance (400-x) km =  

When the two cars meet, .hence we get,

On solving above equation,

9x = 11(400 – x)

9x = 4400 – 11x

9x + 11x = 4400

20x = 4400

X = 220

After 220 km of travel, the car with a speed of 55 km will meet other cars traveling at a rate of 45 km. Now the time taken for two cars to meet each other is given as,

Time is taken for cars to meet =  

Hence the two cars will meet after 4 hours.

Step-by-step explanation:

4 0
3 years ago
Kristina walked 1 2/3
forsale [732]
4 5/12 you just add the fractions
6 0
3 years ago
Read 2 more answers
If there 100 students and 40% of them like hip-hop music how many students are there in total?
hoa [83]

Answer:

40 students like hip-hop music

Step-by-step explanation:


6 0
3 years ago
Mary bought 1 1/2kg of apples and Nancy bought 3 5/6 kg. How many kg did they buy all together.
siniylev [52]
They both bought 5 1/3 kg of apples because 1 1/2 + 3 5/6= 5 1/3 kg
4 0
4 years ago
Other questions:
  • The length of a rectangle is 55 inches more than the width. the perimeter is 4242 inches. find the length and the width of the r
    6·1 answer
  • do you agree that the equation (x-4)²=9 can be solved both by factoring and extracting square roots? ​
    6·1 answer
  • the area of a rectangle is (y^2-8y+15) square inches. which expression represents a possible length? A. (y+5) B. (y-15) C. (y-2)
    5·1 answer
  • I really need help on this.​
    9·1 answer
  • What is the value of 5x³y² when x=2 and y=4?
    14·1 answer
  • Solve y+2x=5;x=-1,0,3
    12·1 answer
  • Hello! I need some help. Have a blessed day!
    10·2 answers
  • Jordan is baking brownies and will choose to use either a round or a rectangular pan. The dimensions of the bottom of each pan a
    9·1 answer
  • Find the value of this expression if x=1 and y=-5 <br> x^2y/7
    13·2 answers
  • The sum of two numbers is 84. The difference of the two numbers is 32. What are the two numbers.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!