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

Given,

We state why it is true.

Lets check for some values of n.

for n = 0

⇒

for  n = 1

⇒

for n = -1

⇒

for n = 2

⇒

for n = -2

⇒

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.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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circumference divided by 3.141592654 then timesthe radius twice

step-by-step explanation:

circumference divided by 3.141592654 then timesthe radius twice