Question

Find the exact value of the trigonometric function. Do not use a calculator. cot(-5pi/4)

Answer 1

@ phi

Answer 2

@freckles

Answer 3

do you know that cotangent is an odd function

Answer 4

i did not

Answer 5

that means cot(-x)=-cot(x)

Answer 6

so confusing lol

Answer 7

\[\cot(\frac{-5\pi}{4})=-\cot(\frac{5\pi}{4})\]

Answer 8

sin, csc, tan, cot are all odd functions
cos, sec are even functions

Answer 9

anyways you should see 5pi/4 on the unit circle

Answer 10

@Tazmaniadevil do you see 5pi/4 on the unit circle
should be in quadrant 3

Answer 11

ok

Answer 12

umm i do not

Answer 13

do you see 225 deg
because that is the same thing in degrees

Answer 14

yes i think

Answer 15

ok what is the x and y coordinate given there

Answer 16

wheres the cordinates

Answer 17

http://buildingaunitcircle.weebly.com/uploads/6/2/2/3/622393/9409299.gif

Answer 18

the coordinates are the things in ( , )

Answer 19

(x,y)
x is the cosine value
y is the sine value

Answer 20

so it was the one with the twos right on the left side

Answer 21

both x and y are -sqrt(2)/2 there
\[\cot(-\frac{5\pi}{4})=-\cot(\frac{5\pi}{4})=- \frac{\cos(\frac{5\pi}{4})}{\sin(\frac{5\pi}{4})}=-\frac{\frac{-\sqrt{2}}{2}}{\frac{-\sqrt{2}}{2}}\]

Answer 22

you can simplify that

Answer 23

smh how do i simplify that ?

Answer 24

what is 5/5 =?
6/6=?
3/3=?

Answer 25

1

Answer 26

12/12=
-12/-12=?

Answer 27

yes

Answer 28

so you have -1
because there is negative in front of that mess

Answer 29

right

Answer 30

@phi

Answer 31

@dan815

Answer 32

@tazmaniadevil did you have another question

Answer 33

yes is -1 my answer

Answer 34

\(\color{blue}{\text{Originally Posted by}}\) @freckles
so you have -1
because there is negative in front of that mess
\(\color{blue}{\text{End of Quote}}\)
\(\color{blue}{\text{Originally Posted by}}\) @Tazmaniadevil
yes is -1 my answer
\(\color{blue}{\text{End of Quote}}\)