Question

What is the value of cos(nπ/2)??

Answer 1

Value depends on "n"

if n is odd number... value is 0

if n is even number.. value is +1/-1

Answer 2

Answer:

If n is a odd number then its value is 0

if n is even number then its value is either 1  or  -1.

Step-by-step explanation:

Given: $cos\,(\frac{n\pi}{2})$

put n = 0

we have, $cos\,(0\times\frac{\pi}{2})=cos\,0=1$

put n = 1

we have, $cos\,(1\times\frac{\pi}{2})=cos\,\frac{\pi}{2}=0$

put n = 2

we have, $cos\,(2\times\frac{\pi}{2})=cos\,\pi=-1$

put n = 3

we have, $cos\,(3\times\frac{\pi}{2})=cos\,\frac{3\pi}{2}=0$

put n = 4

we have, $cos\,(4\times\frac{\pi}{2})=cos\,2\pi=1$

So, Value of $cos\,(\frac{n\pi}{2})$ depends on value of n.

If n is a odd number then its value is 0

if n is even number then its value is either 1  or  -1.