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
yarga [219]
3 years ago
7

Why is cos(nπ) = (–1)n true, when n could be any integer?

Mathematics
2 answers:
rodikova [14]3 years ago
6 0

its true because -1 to even power is positive, -1 to odd power is negative

Elza [17]3 years ago
6 0

Answer:

Given, cos\,n\pi=(-1)^n

We state why it is true.

Lets check for some values of n.

for n = 0

⇒ cos\,0=(-1)^0=1

for  n = 1

⇒ cos\,\pi=(-1)^1=-1

for n = -1

⇒ cos\,-\pi=(-1)^{-1)=-1

for n = 2

⇒ cos\,2\pi=(-1)^{2)=1

for n = -2

⇒ cos\,-2\pi=(-1)^{-2)=1

So, Its clear from above . value of cos nπ is either 1 or -1.

value of cos nπ is 1 when n is even integer and -1 when n is odd integer.

You might be interested in
Plz help cause idk what to do
mixer [17]

Answer:

<em>-9.5 + 6x ≥ 42.1 </em>

<em>6x ≥ 51.6</em>

x ≥ 8.6

Here, we can see that x is greater than or equal to 8.6. So, we can say that 8.6 is the lowest value of x

but we have 2 options with 8.6 as the lowest term, we can see that the brackets are different in the beginning

the '[' bracket tells us to include 8.6 in the values of x whereas the '(' bracket tells to exclude 8.6 from the possible values of x

since we know that x is greater than or equal to 8.6, we will use the '[' bracket

Hence, b is your answer

<em></em>

<em>PS: i need one brainly to reach the next rank, if you find this answer helpful. Mark Brainliest </em>

8 0
3 years ago
A photo originally measuring 11 inches by 9 inches needs to be enlarged to a size of 55 by 45 inches. Find the scale factor of t
mariarad [96]

Answer:

scale factor = 5

Step-by-step explanation:

To determine the scale factor calculate the ratio of corresponding sides of the enlargement to the original, that is

scale factor = \frac{55}{11} = \frac{45}{9} = 5

8 0
3 years ago
Solve the absolute value equation |8|=28
DENIUS [597]

The answer is false. This is because<u> 8 does not equal the number 28</u>.

Explination:

    |8| = 28

     8≠28

7 0
3 years ago
What is 1/3(2/5-2/3w) in expanded form
Ray Of Light [21]
Just distribute! its 2/15 - 9/25w

8 0
3 years ago
If a bagel is 45 cents how many can I get for $20
inn [45]

Answer:

you can get 44 bagels

Step-by-step explanation:

20/.45=44.44 (round down) 44 bagels

4 0
2 years ago
Other questions:
  • Dillon words at the park every third day. William words at the park every fourth day. They both last worked together on a Thursd
    13·1 answer
  • Somebody help me please ASAP!!!!!!!!!!!!!!
    13·2 answers
  • sandra raised 15 dollars for pta and nita raised 45 dollars how many times as much money did nita raise as compared to sandra​
    9·1 answer
  • What is (-10,8) in point- slope form?
    13·1 answer
  • 2. Determinați numărul x din:
    15·1 answer
  • What is the equation of the line that has a slope of 5 and passes through the point (-4, 10)? * (20 Points)​
    14·1 answer
  • Plz help and show work
    9·1 answer
  • A scale model of a sculpture has a scale of 2 : 49.
    12·2 answers
  • Hey, I have some algebra questions, I need to complete for tomorrow. One of them is: Simplify 4a + 12a. ​
    14·1 answer
  • Will give Brainiest if you are right
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!