Question

Evaluate: Cot (-101 pi/3)​

Answer 1

Step-by-step explanation:

If you consider an angle to be positioned

centered on the origin of the Cartesian plane

with a base arm along the positive X-axis

then

the terminal arm of 3π2 is along the negative Y-axis.

The cot(3π2) is the value of x divided by the value of y for any point along the terminal arm.

x=0 for all points along the terminal arm

cot(3π2)=0.

Evaluate 2π32π3 where π=180oπ=180o, which gives a value of 120o120o.

Also know that cot=1tancot=1tan.

Therefore,

cot(2π3)=1tan(120)=10.713=1.402cot(2π3)=1tan(120)=10.713=1.402