anonymous
  • anonymous
Find the exact value of the trigonometric function. Do not use a calculator. cot(-5pi/4)
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
@ phi
anonymous
  • anonymous
freckles
  • freckles
do you know that cotangent is an odd function

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anonymous
  • anonymous
i did not
freckles
  • freckles
that means cot(-x)=-cot(x)
anonymous
  • anonymous
so confusing lol
freckles
  • freckles
\[\cot(\frac{-5\pi}{4})=-\cot(\frac{5\pi}{4})\]
freckles
  • freckles
sin, csc, tan, cot are all odd functions cos, sec are even functions
freckles
  • freckles
anyways you should see 5pi/4 on the unit circle
freckles
  • freckles
@Tazmaniadevil do you see 5pi/4 on the unit circle should be in quadrant 3
anonymous
  • anonymous
ok
anonymous
  • anonymous
umm i do not
freckles
  • freckles
do you see 225 deg because that is the same thing in degrees
anonymous
  • anonymous
yes i think
freckles
  • freckles
ok what is the x and y coordinate given there
anonymous
  • anonymous
wheres the cordinates
freckles
  • freckles
http://buildingaunitcircle.weebly.com/uploads/6/2/2/3/622393/9409299.gif
freckles
  • freckles
the coordinates are the things in ( , )
freckles
  • freckles
(x,y) x is the cosine value y is the sine value
anonymous
  • anonymous
so it was the one with the twos right on the left side
freckles
  • freckles
both x and y are -sqrt(2)/2 there \[\cot(-\frac{5\pi}{4})=-\cot(\frac{5\pi}{4})=- \frac{\cos(\frac{5\pi}{4})}{\sin(\frac{5\pi}{4})}=-\frac{\frac{-\sqrt{2}}{2}}{\frac{-\sqrt{2}}{2}}\]
freckles
  • freckles
you can simplify that
anonymous
  • anonymous
smh how do i simplify that ?
freckles
  • freckles
what is 5/5 =? 6/6=? 3/3=?
anonymous
  • anonymous
1
freckles
  • freckles
12/12= -12/-12=?
freckles
  • freckles
yes
freckles
  • freckles
so you have -1 because there is negative in front of that mess
anonymous
  • anonymous
right
anonymous
  • anonymous
anonymous
  • anonymous
freckles
  • freckles
@tazmaniadevil did you have another question
anonymous
  • anonymous
yes is -1 my answer
Nnesha
  • Nnesha
\(\color{blue}{\text{Originally Posted by}}\) @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 \(\color{blue}{\text{End of Quote}}\)

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