Question

find the of cot of 7pi/2 simple way

Answer 1

\[7\pi/2 = 2\pi + 3\pi/2\]
\[\cot 3\pi/2 = undefined\]

Answer 2

oh why is it 2pi + 3pi/2 shouldnt it be 3 and 1/2?

Answer 3

wait scratch that
\[\tan 3\pi/2 = undefined\]
so \[\cot 3\pi/2 = 0\]

Answer 4

cot 7pi/2
=cos(630)/sin(630)
=0

Answer 5

im trying to use a method without calculator

Answer 6

use the unit circle
\[\cot 3\pi/2 = \frac{\cos 3\pi/2}{\sin 3\pi/2} = 0\]

Answer 7

pi=180
this means you multiply 7by 180 and divide the result by 2
cot=cos/sin
meaning you 'ill have cos630/sin630
=0

Answer 8

ok but can u explain how u got 7pi/2= 2pi + 3pi/2

Answer 9

2pi + 3pi/2 = 4pi/2 + 3pi/2 = 7pi/2

Answer 10

like i know 7/2= 3 1/2 but how does it add with 2pi to get 7/2

Answer 11

I just showed u..

Answer 12

oh ok looks bit confusing what is the purpose of those other fractions if u only need 3pi/2?

Answer 13

I simply answered your question which was

"how does it add with 2pi to get 7/2"

Answer 14

better question is why do you have to show 2pi?

Answer 15

tan and cot periodic (repeat values) in pi

Answer 16

oh thanks everyone