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
Need help on the attached question
katen-ka-za [31]

Answer:

f(8) = 4.92`

Step-by-step explanation:

4 0
3 years ago
Someone pls help me I'm really struggling and the assignment is almost due
Grace [21]

Answer:

x<3 and x≥5

Step-by-step explanation:

Look at the circles and what is shaded on the number line.  The first circle is at x=3, and it's an open circle.  An open circle means that the interval does not include that point.  The arrow is going to the left, meaning x < 3.

The next circle is at x=5.  It is a closed circle, so the interval does include that point (so draw a bar under the less than/greater than sign).  Next, notice how the arrow is pointing to the right.  That means that the blue area is at x=5 and greater than x=5, so x≥5.

5 0
3 years ago
I need help ON THIS PLS
Anit [1.1K]

Answer:

No, because the ratio of pay to hours is not the same for each pair of value.

8 0
3 years ago
What system of equations represents the graph
Elodia [21]

Answer:

The answer is C because the two figures are not congruent.

4 0
3 years ago
Which is the graph of the sequence defined by the function f(x + 1) = Three-fifthsf(x) when the first term in the sequence is 37
nadezda [96]

Answer: On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

Step-by-step explanation:

We have the relation:

f(x + 1) = (3/5)*f(x)

such that the first term is 375

Then:

f(1) = 375.

Using the above relation, we have that:

f(1 + 1) = f(2) = (3/5)*f(1) = (3/5)*375 = 225

Then we have the pair (2, 225)

The next term is:

f(2 + 1) = f(3) = (3/5)*f(2) = (3/5)*225 = 135

Then we have the pair (3, 135)

the next term is:

f(3 + 1) = f(4) = (3/5)*f(3) = (3/5)*135 = 81

Then we have the pair (3, 81)

Then the correct option is the first one; On a coordinate plane, 4 points are plotted. The points are (1, 375), (2, 225), (3, 135), (4, 81).

9 0
3 years ago
Read 2 more answers
Other questions:
  • Jerimy factored 144x^2-25as follows:
    12·1 answer
  • It took Joe 3 hours swimming at a speed of 12 miles per hour to swim along the Charles River. If Jennifer is swimming the same p
    5·2 answers
  • HELPPPP
    14·2 answers
  • Determine which is the graph of the given function.
    5·1 answer
  • 8 x 10^24 × 2 x 10^8​
    13·1 answer
  • (9x-8)+(x+10)+(x+2)=180 find x
    11·2 answers
  • I NEED THIS LIKE, RIGHT NOW. THIS IS DUE AT 3:00
    13·2 answers
  • 8th grade Gifited math class 100 Points
    11·2 answers
  • Isabella has a summer job working for a biologist studying a type of flower. Isabella's job is to collect these flowers from a l
    15·1 answer
  • Convert this fraction into a decimal.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!