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
ludmilkaskok [199]
2 years ago
9

Prove that cos^4∆ - sin^4∆ = 2cos^2∆ - 1

Mathematics
1 answer:
GarryVolchara [31]2 years ago
3 0

\cos^{4} x-\sin^{4} x\\\\=(\cos^{2} x+\sin^{2} x)(\cos^{2} x-\sin^{2} x)\\\\=\cos^{2} x-\sin^{2} x\\\\=\cos^{2} x-(1-\cos^{2} x)\\\\=2\cos^{2} x-1

You might be interested in
A network provider investigates the load of its network. The number of concurrent users is recorded at fifty locations (thousand
beks73 [17]

Answer:

see explaination

Step-by-step explanation:

Using the formulla that

sum of terms number of terms sample mean -

Gives the sample mean as \mu=17.954

Now varaince is given by

s^2=\frac{1}{50-1}\sum_{i=1}^{49}(x_i-19.954)^2=9.97

and the standard deviation is s=\sqrt{9.97}=3.16

b) The standard error is given by

\frac{s}{\sqrt{n-1}}=\frac{3.16}{\sqrt{49}}=0.45

c) For the given data we have the least number in the sample is 12.0 and the greatest number in the sample is 24.1

Q_1=15.83, \mathrm{Median}=17.55 and Q_3=19.88

d) Since the interquartile range is Q_3-Q_1=19.88-15.83=4.05

Now the outlier is a number which is greater than 19.88+1.5(4.05)=25.96

or a number which is less than 15.83-1.5(4.05)=9.76

As there is no such number so the given sample has no outliers

5 0
3 years ago
How to write 934 1/2 in scientific notation?
devlian [24]
9.35 times 10 to the second power
8 0
3 years ago
In 2017 there were enough renewable energy sources to supply a total of 9309 megawatts of electricity in a country. This graph s
STatiana [176]

Approximately 1700 megawatts of electricity could be supplied by Hydropower in 2017. Option B is correct.

Given that,
In 2017 there were enough renewable energy sources to supply a total of 9309 megawatts of electricity in a country. The graph shows the proportions that the different renewable energy sources could supply.

<h3>What are percentages?</h3>

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here, from the graph contribution of the hydropower is 18.2%.
So the electricity produced through hydropower is,
= 9309 * 18.2%
= 9309 * 18.2/100
= 1694.23
≈ 1700 megawatts

Thus, approximately 1700 megawatts of electricity could be supplied by Hydropower in 2017.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ1

5 0
1 year ago
Is the following composition of transformations a glide reflection? Justify
levacccp [35]

Answer:

Yes

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST!!!!!
Tomtit [17]

Answer is option B.

\frac{ - 1}{ 25 }

Explanation:

5 to the power -2 can be written as

{( {5}^{2})}^{ - 1}

which will be

{25}^{ - 1}

which will be

\frac{ - 1}{ 25 }

5 0
3 years ago
Other questions:
  • What is 1% of $80?????????
    15·2 answers
  • Joshua and his four friends have 1/2 pakage of a crackers. How many pakages of crackers do they have in all
    11·1 answer
  • I need help please
    11·2 answers
  • Explain why 3(x+4)=3(x-5) has no solution. Choose the best response below.
    5·2 answers
  • On the first of three tests Kayla scored 72points. On the third test her score was 1 point more than on the second. Her average
    8·1 answer
  • Question: 2
    5·1 answer
  • Destiny is making a gelatin dessert for a party. She plans
    6·1 answer
  • Please help its easy but I dont understand it​
    5·1 answer
  • Find the values of the vertex and Axis of symmetry.
    14·1 answer
  • Heights (cm) and weights (kg) are measured for 100 randomly selected adult males, and range from heights of 130 to 190 cm and we
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!