find the of cot of 7pi/2 simple way

Question

find  the  of cot  of 7pi/2 simple way

dumbcow · Answer

$$7\pi/2 = 2\pi + 3\pi/2$$
$$\cot 3\pi/2 = undefined$$

anonymous · Answer

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

dumbcow · Answer

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

anonymous · Answer

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

anonymous · Answer

im trying to use  a method without calculator

dumbcow · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

I just showed u..

anonymous · Answer

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

anonymous · Answer

I simply answered your question which was

"how does it add with 2pi to get 7/2"

anonymous · Answer

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

anonymous · Answer

tan and cot periodic (repeat values) in pi

anonymous · Answer

oh thanks everyone