Question

find the value of Cot(-13pi/4)
​

Answer 1

Answer:

-1

Step-by-step explanation:

cot(-13*180/4)

cot(-585)

-1

Answer 2

Answer:

-1/root 2

Step-by-step explanation:

We know that pi=180

that implies -13pi/4 = -13×180÷4

= -13× 45

= -585

we need to find cot(-585)

we know that cot(-x)= -cotx

that implies,

cot(-585) = -cot(585)

= -cot(360+225)

= - cot(225)

= -cot(270 - 45)

= - cot(45)

= - 1/(2)½

i.e - 1 by root two